Last year’s semi-finalists Monaco crashed out of the Champions League in the group stages when they were beaten at home 4-1 by Leipzig on Tuesday.
The principality side never recovered from going 3-0 down in the first half an hour following a Fabinho own goal and two goals by Timo Werner.
Radamel Falcao reduced the arrears, only for Naby Keita to put the visitors 4-1 up on the stroke of halftime.
The result left Monaco bottom of Group G on two points from five games, with Leipzig on seven, level with second-placed Porto.
Besiktas top the Group with 11 points after their 1-1 home draw with Porto.
The defeat means Monaco will not even play in the Europa League this season.