The talks are advanced, though no final decisions have been made and Amadeus could decide against the purchase, said the people, who asked not to be identified because the deliberations are private. A representative of Chicago-based Thoma Bravo declined to comment when contacted by Bloomberg before the Amadeus statement. Amadeus, which has a market value of 32 billion euros, operates a flight booking system used by airlines around the world to manage reservations, inventory and departure control. The Madrid-based company’s shares fell less than 0.1 percent to 72.94 euros. Thoma Bravo bought TravelClick in 2014 for $930 million. The software company then acquired ZDirect, a customer relationship management platform, in 2015 for an undisclosed amount. This year, it said it purchased Dallas-based Digital Alchemy. Get the full story at Bloomberg