Kim Kardashian, you tease!! Following all the chatter about her and her rumored new racing beau, Lewis Hamilton, she is giving us a peek into her week so far! We previously reported that she and the Formula One driver were seen entering a Paris hotel on Monday following previous rumors that they reconnected on NYE in Aspen. And Kimmy Kakes def saw the goss - because she's totally teasing her followers! Related: Kim & Lewis Have Vibed For YEARS - See The Pics! On Instagram Monday night, she shared a glimpse of the Eiffel Tower sparkling from the window of her (and probably Lewis') hotel room. See for yourself (below): (c) Kim Kardashian/Instagram Not only that, she put a pic on her Stories that she was at the Hotel Costes enjoying some cheesecake and a Bridgerton marathon. Sounds like a cozy date night to us! (c) Kim Kardashian/Instagram Sweet! Insiders for The US Sun reveal this is Kim and Lewis' THIRD outing together, though! The source told the outlet on Monday it was the athlete who brought out all the stops, taking the reality TV star on his private jet to HER fav hotel in England - Estelle Manor - over the weekend! They're said to be "inseparable": "Kim and Lewis have such intense working schedules so they're keen to spend as much time together as possible. Right now, they're inseparable and are fitting their dates around Kim's work commitments." The race season is starting soon, so they're probably soaking up all the time they can before he starts jetting around the globe again. The insider said the couple are keeping things "low-key," but Lewis is pulling out all the stops to impress her. He's been getting them private rooms to dine in and have some quality time while in the UK: "Kim and Lewis are keeping their relationship very low-key. They drove from Oxfordshire to London together so they could spend some quality time together. Lewis has a full-time driver but he prefers to be behind the wheel himself - he's a professional so can get from A to B quickly. For him to be a passenger and spend over two hours in a car with Kim says a lot." The source went on to say that before Kim had to go to work, she and Lewis enjoyed a cozy night in their room at the Rosewood Hotel in London, too: "At the Rosewood it was 'Netflix and chill' vibes - and they couldn't have been happier. When Kim went out to her event, Lewis stayed at the hotel and waited for her to come back." Then, this is where they flew out to Paris! The 45-year-old reality TV star is said to have chartered her jet because she had some Nike x SKIMS work to go do, including a pop up in the French city. Lewis came along, and that's when we saw them entering the hotel together. The insider said of their date-night: "Kim absolutely loves spending time in Paris and wanted Lewis to go with her. Her work is so important to her but it's all things she can slot around spending time with Lewis. They're both used to traveling all over the world while working so doing it together means they can spend proper time with each other. They kept things super low-key in Paris and spent most of their time together in their room and ordered food there." Did that order happen to include cheesecake? LOLz! Despite them obviously being caught amid their romance, the source said the couple are doing everything they can to keep their privacy under wraps: "Kim and Lewis have been using side entrances at hotels, or are using hotels which have underground car parks. They'll then use lifts straight to their room. It's like a military operation moving them from place to place but Kim has her two bodyguards and Lewis has his close protection officer on hand to help things run smoothly." Things are heating up! What do U think about Kim and Lewis, Perezcious readers?? Let us know (below). [Image via Kim Kardashian/Lewis Hamilton/Instagram] The post Kim Kardashian Shares Romantic Look At Paris Trip With Lewis Hamilton -- As Sources Say They're 'Inseparable'! appeared first on Perez Hilton.