Catherine, Duchess of Cambridge speaks with children as she tours a cycling themed festivalCredit:Jeff Spicer/Getty Images Europe Significantly, the Duchess was accompanied by the Queen’s own private secretary, Sir Christopher Geidt, in a move aides said underlined the significance of the trip and the Queen’s personal support. Francine Closener, Luxembourg’s economy, international security and defence secretary, said the country would continue to respect the common values of “pragmatism, an ability to adapt… a capacity to listen to others, understand their needs and find a solution” even as “our relationship evolves.”Later this year, the Duchess and Duke will visit Germany and Poland on the request of the Foreign Office, in another bid to show their appreciation for the UK’s European neighbours. Frank Schleck, also a professional cyclist and brother of Andy, said: “We talked about how they [children] really appreciate riding a bike. For kids, it’s great because they can exercise and – as long as it’s safe – go to school without their parents.”She said their kids [Prince George and Princess Charlotte] have bikes and that they’re always excited about trying to ride.”It formed part of the Duchess’ one-day trip to Luxembourg, following what has been dubbed the Royal family’s “Brexit tour” charm offensive in Europe this year. “She said not to worry, it’s totally normal at that age.”The Duchess was attending a festival in Luxembourg’s Place Clairefontaine, which gathered cyclists, a choir, and schoolchildren in celebration of the upcoming Tour de France.The Duchess was introduced to cyclist Kim Kirchen, his wife Caroline and six-year-old twin sons Liam and Mika, who presented her with a personalised jersey.Mrs Kirchen said: “She said she has no excuse now not to get on a bike.” The Duchess of Cambridge accepts flowers from a child as she visited the Grand Duke Jean Museum of Modern Art in Luxembourg CityCredit:James Whatling The Duchess wore a blue coat by Emilia WicksteadCredit:Stephen Lock/i-Images Politicians in Luxembourg did not shy away from the topic of Brexit during the day, with speeches referencing cooperation and pragmatism.Prime Minister Xavier Bettel said: “The European Union is the backbone of Luxembourg’s independence and prosperity. Catherine, Duchess of Cambridge tours a cycling themed festivalCredit:Jeff Spicer/Getty Images Europe As the mother of two small children, the Duchess of Cambridge has likely learned the art of adapting to their moods.Her skills were put to the test yesterday, as a three-year-old boy was overcome with the pressure of handing her a posy of flowers.Teo Schleck, the young son of Tour de France-winning Andy Schleck, was struck with a bout of shyness in front of the cameras, collapsing into his mother’s arms for reassurance while the Duchess crouched down to console him. Jil Schleck, his mother, later said: “Kate asked if he was shy. She was very nice – you can see she’s a mum. “We are happy to be part of this European family, which is based on the rule of law, justice and peace.” Want the best of The Telegraph direct to your email and WhatsApp? Sign up to our free twice-daily Front Page newsletter and new audio briefings.