Day Two of William and Kate's royal visit to Sweden began with a focus on the country's pioneering work in the field of mental health and children's wellbeing.  The royal couple were accompanied by Crown Princess Victoria and Prince Daniel for their first stop of the day at the Karolinska Institute, one of the world's largest and most prestigious medical universities.

The Duchess stepped out in her second Catherine Walker coat of the tour. Today's coat was a bolder choice compared to the solid forest green piece she debuted yesterday. The red and white houndstooth coat has a double-breasted front and is a bespoke creation from the London-based atelier.

She teamed the coat with a tailor-made Alexander McQueen sheath dress.

The piece is made from an ivory wool-blend bouclé-tweed, flecked with gold yarns. The fabric is seen throughout McQueen's Pre-Fall '17 collection. Below are some pieces that feature the material.

Kate complemented the mod style with her ultra-chic Chanel quilted handbag, first seen in Paris last March, and again on Christmas Day.  On her feet were the trusty Tod's Burgundy Fringed Leather Pumps.

She wore the iconic Cornelia James 'Imogen' wool gloves in chocolate brown.

Kate's earrings are by In2Design - a jewellery brand founded by two Swedish-American designers Inger Mark and Inga “Louise” Baldwin who have been designing unique, hand-crafted jewelry together since they met in the U.S. in 2002.

They are the label's Baroque Pearl Earrings (US$152) available at Banana Republic.  Due to the nature of Baroque freshwater pearls, each is a one-of-a-kind original, and the shape and size of the pearls will vary. The pearl hangs from a gold-filled wire, and the earrings are handmade in the U.S.A.

The Duke and Duchess and Crown Princess Victoria and Prince Daniel then headed to Matteusskolan, a comprehensive school in the heart of the city centre to join children who have taken part in the Youth Aware of Mental Health programme. Here they had an opportunity to learn about the support children and young teenagers get through the Swedish education system. 

That afternoon, the two Royal couples visited one of Sweden's leading department stores – NK – to open an interactive exhibition of UK design, fashion and brands that operate in Sweden.

From NK, William and Kate traveled to Haga Palace, the official residence of Crown Princess Victoria and Prince Daniel, for a private tea with the Royal couple and their children.

On their last evening in Stockholm, The Duke and Duchess will attend an event at the Fotografiska Gallery, which at night boasts glittering views over Stockholm.

On their final evening in Stockholm, William and Kate attended an event at the Fotografiska Gallery, which at night boasts glittering views over the city. The event was a celebration of contemporary culture with guests representing the worlds of music, film, television, theatre, tech, dance, art and sport, with live music, drinks and canapés.

The Duchess opted for another floral patterned Erdem dress tonight, not dissimilar to the gown she wore for the black tie dinner hosted by the British ambassador yesterday evening, only this one is  a midi length and made from blue velvet.

The 'Christina' dress (£2,690) is a runway piece, shown as part of the designer's A/W 2017 collection. Crafted from a medium weight silk-blend velvet-devoré, it features a mock neckline with banded waist, long bell sleeves, and a fluted godet hemline.

Kate, the sartorial diplomat, arrived at the venue wearing a new black coat by Swedish fashion designer Ida Sjöstedt. The couturier, who has long been a favorite for Swedish Royals, graduated from London’s University of Westminster in the year 2000, and set up her own label in Stockholm the following year. The piece Kate wore is the 'Antonia' coat from the A/W 2018 Collection.

Kate accessorised the coat with black Troy London faux fur collar and faux fur cuffs.

On her feet were the Gianvito Rossi 'Mila' Black Suede Ankle Strap D'Orsay Pumps, previously worn on tour in Paris and Poland.

Kate completed her evening look with a pair of glittering statement earrings.

They are the Robinson Pelham Aspen earrings from the jeweler’s Oxygen collection. The £4,900 hoop earrings are set with white diamonds in 18ct gold.

Tomorrow morning, The Duke and Duchess will depart Sweden for Norway from Uppsala Airbase. Prior to their departure, William and Kate will receive a short briefing on the Swedish Armed Forces' operational capabilities.

The Duke and Duchess of Cambridge touched down in Stockholm yesterday evening ahead of their 4-day royal tour to Sweden and Norway. Kate and William arrived by private jet before being escorted to the British Ambassador’s residence where they will be staying for the duration of the Swedish leg of the official visit before flying on to Oslo later in the week. 

We got a glimpse of Kate wearing her Mulberry Cerise Double Breasted Coat for the private arrival.

It has been one of her favorites during her pregnancies.  She first wore it in New York at the September 11 Memorial & Museum in December 2014 while pregnant with Princess Charlotte.  We saw the ensemble again a few moths later just before she went on maternity leave. She revived the coat earlier this month when she joined Prince William for a day trip to Coventry.

Today, Their Royal Highnesses kicked off the tour proper with a visit to the Vasaparken, an outdoor ice-skating venue in the city centre for a bandy hockey event.

Kate wrapped up warm in a new black shearling coat.

It is the Burberry'Tolladine' shearling trench coat (US$3,495). It features all of the heritage details of the brand's signature trench, including buckled cuffs, epaulettes and a storm flap. Crafted in Italy from black lamb shearling, this slightly loose style has a double-breasted front that can be cinched using the detachable belt, and a back vent for ease of movement.

Under the coat we got a glimpse of a Fair Isle jumper.

Kate paid homage to the host country by wearing the Övik Folk Knit Sweater (£135) by Swedish brand Fjallraven. The knitted woollen sweater features a pattern inspired by Nordic folklore. It is designed with a round neckline and ribbed sleeve cuffs and hem. Kate wears it in the 'Uncle Blue' colourway which is currently available at these leading retailers: Fjallraven, Amazon (US), and Amazon (UK).

Her hat is the Eugenia Kim 'Rain' Faux-Fur Pompom Beanie (US$275). The beanie has sold out but the fox-fur version is currently available at Harvey Nichols (£240). With thanks to @PerthsFashion for the ID.

The eagle-eyed @PerthsFashion's also identified Kate's gloves. They are the John Lewis Women's Black Faux Fur Trim Suede Gloves (£42). The gloves have sold out in black but are still available in brown suede and on sale for £21.

Kate's scarf is the Brora Cashmere Fine Cable Snood in Bordeaux (ID by‏ @RoyalNorway). Originally retailing for £135, it is now discounted to £89.

On her feet, the Duchess wore the Sorel 'Torino' boots (US$154) - with thanks to @HeavenQRF for the ID. The snow boots are currently available at these leading retailers: Net-a-Porter, Amazon, and My Theresa.

Kate finished the outfit with her $4,800 Asprey London 167 White Gold Earrings.

Next, The Duke and Duchess will travel to the Royal Palace of Stockholm to attend a luncheon hosted by King Carl XVI Gustaf and Queen Silvia.

For the second event of the royal visit to Sweden, The Duke and Duchess traveled to the Royal Palace of Stockholm to attend a luncheon hosted by King Carl XVI Gustaf and Queen Silvia to welcome them to Sweden. Fifteen members of the Swedish Royal Court also attended the formal lunch, including Crown Princess Victoria and her husband Prince Daniel.

Kate wore a bespoke forest green tunic dress by Catherine Walker which she teamed with sheer black pantyhose and her trusty Tod's Black Suede Block Heel Pumps.

Following the luncheon, William and Kate, accompanied by Victoria and Daniel walked through the picturesque cobbled streets of Stockholm from the Royal Palace to the Nobel Museum.

For the walkabout Kate topped the Catherine Walker dress with a matching coat also by the London-based atelier. The piece is trimmed with a contrasting black faux-fur collar and cuffs.

The Duchess complemented the look with her Peruvian Connection 'Vallnord' Alpaca Fur Hat (US$99).

She added a touch of vintage chic with a black Mulberry Mini Seaton Bag (£895).

The Mini Seaton's sleek lines and streamlined silhouette are sized down from Mulberry's iconic 'Seaton' style. Its petite size makes it ideal for a day-evening bag or to pack away for a trip. Featuring equestrian-inspired detailing such as raw-edged construction and the signature Rider's Lock, the Mini Seaton can be worn on its adjustable shoulder strap or carried by its neat top handle.

To prevent slipping in the snowy conditions, Kate aptly changed into her Stuart Weitzman 'HalfNHalf' black suede boots.

She completed the look with her Kiki McDonough 'Special Edition' drop earrings featuring green tourmaline and green amethyst stones surrounded by diamonds.  Set in yellow gold, the exclusive earrings were made especially for Kate by KIKI to mark the birth of Princess Charlotte. Kate premiered them during the royal tour of India in April 2016 for a meeting with the Indian Prime Minister.

Tonight, William and Kate will attend a black tie dinner at the Residence of the British Ambassador.

Following a busy start to the royal visit to Sweden, the Duke and Duchess Cambridge concluded their first day in Stockholm with a black tie dinner at the Residence of the British Ambassador.

Kate opted for a bold choice, wearing the Erdem 'Stephanie' floral-printed silk-crepe de chine gown in a gold hue (ID by @HeavenLM‏). The pattern is from Erdem's Fall 2017 collection which was heavily influenced by the designer's Turkish roots. The 'Stephanie' gown is traced with ruffles and has bracelet-cut bell sleeves. It is finished with a self-tie belt at the waist.

The US$2,695 dress is no longer available in the metallic tone, but the 'Stephanie' style was reissued this season in a black floral print. It is currently available at My Theresa, Matches Fashion, Selfridges, Barneys New York, and the The Modist.

The Duchess swept her brunette locks back into a low chignon and offset it with the Collingwood diamond and pearl drop earrings from Princess Diana's private collection.

On her wrist we also see Princess Diana's three-string pearl bracelet by Nigel Milne.

Kate picked up on the deep red accents in the floral print and opted to accessorize with burgundy pumps (possibly her Gianvito Rossi Royale Burgundy Suede Pumps) and a matching clutch.

The suede minaudiere appears to have an embellished frame and faceted clasp. I believe it is the Jimmy Choo 'Celeste' crystal-embellished suede clutch (US$1,495).

Day 2 of the royal visit will focus on Sweden's pioneering work in the field of mental health and children's wellbeing. In the afternoon, William and Kate will visit one of Sweden's leading department stores – NK – to open an interactive exhibition of UK design, fashion and brands that operate in Sweden.  From NK, the royal couple will travel to Haga Palace, Crown Princess Victoria and Prince Daniel's official residence, for a private tea. On their last evening in Stockholm, The Duke and Duchess will attend an event at the Fotografiska Gallery, which at night boasts glittering views over Stockholm.