In an article on Forbes, Paul Tassi referenced a podcast where Jeff Grubb stated that Microsoft has attempted to buy Destiny 2 developer Bungie. The anecdote ends with the deal being canned, due to price negotiations.
Bungie has since denied any talks exist where Microsoft has expressed a willingness to purchase Bungie. As the entirety of the premise that Microsoft is looking to buy Bungie came from a podcast, and second hand information, without corroboration from a first party, this is still just a rumor. Pete Parsons, CEO of Bungie, outright expressed that the details relating to the podcast conversation were false, despite the very same rumblings of talks, and the inevitable breakdown of them being reported by both Eurogamer and Giant Bomb respectively.
This is false.— pete parsons (@pparsons) September 14, 2020
That being said, Microsoft and Bungie have had a favorable relationship that will now bring Destiny 2 and its latest content to Game Pass. With several hefty acquisitions under Microsoft’s belt, it wouldn’t be completely out of the realm of possibility that they have their eyes on Bungie. Destiny 2 is still going strong as they have recently outlined a new Warlock subclass.