Duchess of Cambridge meets street children at New Delhi railway station in India

William and Kate met street children in New Delhi this morning on the third day of their tour in India and Bhutan.

The Duke and Duchess of Cambridge later had lunch with Indian Prime Minister Narendra Modi in Indian capital

Later the royal couple will fly to Assam where they will spend two days highlighting rural and conservation issues

See more of the latest from Kate Middleton and Prince William's India tour as they meet New Delhi street children

Just an hour or two earlier, the Duchess of Cambridge was playing games with India's most vulnerable children in a £50 frock and flat pumps

But after a swift costume change that would impress many a West End theatre, she was stepping out to have lunch with the Indian Prime Minister in an £800 lace dress paired with a formal chignon.

It was all part of another busy day on the Royal tour, which started with the Duchess looking radiant in a casual printed maxi dress as she joined her husband at a center for street children in New Delhi.

The royal couple visited a facility run by the Salaam Baalak Trust, an organisation supporting some of the youngsters who arrive into the city's railway station each day in search of a better life.

Unusually on a public engagement, Kate, 34, opted for flat cream pumps which she paired with a long burgundy ethnic-style dress with a belt tied around the middle. She wore her hair in loose curls half tied up off her face to finish her relaxed look.

William and Kate, who are on the third day of their week-long tour of India and Bhutan, today met some of the 6,000 children who travel to New Delhi each year, often fleeing from abuse or appalling poverty.

Once they arrive in the Indian capital, the youngsters become a target for prostitution, people trafficking or sexual and physical abuse.

The royal couple heard how the Trust's outreach workers try to identify the most vulnerable young children as soon as they arrive, encouraging them to seek support.

The Duke and Duchess heard how some of the children have their eyes gouged out and hands hacked off to make them more 'attractive ' as professional beggars.

But the horrors of life on the street seemed far removed from the children's minds as they invited the visiting royals to join them for a round of carrom, a traditional table game.

William and Kate appeared in good spirits as they crouched down on the floor with the boys, who live in the nearby station.

The Royal Visit to India has been a stylish affair with the Duchess of Cambridge keeping us on our toes by changing outfits several times a day. So far she's already worn some of her favourite British designers including Jenny Packham, Alexander McQueen, Emilia Wickstead and Temperley London, as well as local talent Anita Dongre and Amrapali.

And day three of the trip saw her surprise us again in this printed red maxi dress for a visit to the Salaam Baalak Trust in New Delhi. Featuring an intricately printed design, flowing silhouette and lace up detailing, this dress has a definite Boho feel about it and we love the addition of the navy belt which draws the eye and makes for a flattering fit.

A great summer investment, a boho chic maxi is perfect for long sunny days lounging by the pool, but can equally translate to evening wear with the help of a pair of heeled sandals and a metallic clutch bag.

But perhaps the best thing about this dress is the fact it's by high street label Glamorous and only costs £50! That's right, the Duchess is wearing something we can all afford so why not give your summer look a hippy-esque update by clicking (right) to buy it now?

Prince William, 33, asked one of the boys: 'What's the game you're playing? Ah, carrom board. Can you show us how to play?' Flicking the draught, he laughed as it went too far and invited his wife to have a go. 

The charity's director Sanjoy Roy told the couple about the charity's work. 'The boys come here for four hours of lessons and some food every day,' he said. 'When they're not here, they're at the railway station.'

When Prince William asked whether it was dangerous, Mr Roy replied: 'Yes, so they try to stick together. We look after around 7,000 kids a year but every day around 40 to 50 new children arrive at the station.

'They often have to deal with trauma, learning difficulties, ADHD and we have special programmes to help them with that. These children that we look after are the most vulnerable. Some may have their eyes gauged out or hands hacked off.

'The primary reasons they run away from home are misunderstanding with step-parents, physical and mental abuse, incredible poverty or a life event such as forced marriage.'

The charity has six homes, 21 contact centres and three Childline centres near stations, bus stands and railway stations across Delhi.

Prince William asked what he could do to help, and Mr Roy replied: 'Spread the word. People think of them as street kids, beggars, thieves but they are just children. They deserve an education, future and a life. They have a right to a childhood.'

The couple also heard how Salaam Baalak Trust always tries to reunite children with their families but where that's not possible they provide permanent care in one of their shelters, where they are given medical care as well as educational, creative and social opportunities.

Dr Amit Sen, who started the charity's mental health programme, explained to the couple why this support is vital to help children coping with the trauma of life on the streets adapt to life in a nurturing environment.

Aides said the Duke and Duchess were particularly interested to see children's mental health being treated as a key priority in helping children to seek physical healthcare, shelter, and eventually education. Young people's mental health is a major focus of their charitable work.

Prince William and Kate also met two Salam Baalak City Walk Guides. The Trust is famous for its city walks, guided tours of the Delhi streets by the children who used to live there before being rescued.

The tours provide revenue for the Trust, but more importantly allow the young people to tell their stories of hardship and survival as well as helping them with their English and communication skills.

Salaam Baalak Trust was set up in 1998 with the proceeds from the film Salaam Bombay, a film depicting the lives of vulnerable street children.

The name Salaam Bombay means 'salutes the child'. Salaam Baalak Trust runs five children's shelters,which house over 500 children,and 13 contact points in and around Delhi, supporting children living and working on the streets.