TUI is a large travel agency and TUIfly is their own airline. But in practise the brand name TUIfly covers several small airlines which fly for TUI, so it is rather just a brand name than a real airline in itself.
This machine OO-LOE belongs to TUI Airlines Belgium. It's a Boeing B787-8 Dreamliner which flies currently from Amsterdam and Brussels to Latin America. The machine was taken in use in January 2015. It has been flying not only for TUI fly Belgium but also for TUI fly Netherlands, TUI Airways of Great Britain and Thomson Airways, which all belong to the TUI group. Picture from Amsterdam Schiphol 12.6.2023 by Ilkka Siissalo.