Kate Moss and Jamie Hince ran PDA-filled errands in London yesterday before boarding the Eurostar and heading to Paris, where she and pal Anita Pallenberg lunched at Cafe de Flore before heading out for an afternoon of shopping around the city. Anita seemed to call it a night on the early side, while Kate went out to see Jamie's band, The Kills, perform at La Fleche D'Or. It was a quick excursion for the frequent French visitors, as the trio left the Ritz today and reported to the Gare du Nord to catch a train to England. The engaged duo were last in France for Fall Fashion Week, with Kate making a smoking return to the runway during the Louis Vuitton show. Marc Jacobs, who designed the clothes she sported on the catwalk, recently addressed her cigarette-smoking cameo, saying, "She was perfect." Jamie's work commitments are the reason he and Kate are traveling now, as they have to be back home in the UK for another performance tomorrow.