Israel debutant Yarden Shua scored an 86th-minute winner as they upset more fancied Belgium 1-0 in Budapest on Sunday.
The Premier League's bottom two clubs met at Goodison Park and there was more woe for Everton as they bowed out on penalties to Southampton after a 1-1 draw.
A round-up of Saturday's action in the English Premier League.
Holders Manchester City began their assault on the FA Cup with a 4-1 victory over fourth-tier Port Vale but Manchester United and Wolverhampton Wanderers face an unwanted replay after drawing 0-0 at Molineux on Saturday. Goals from Oleksandr Zinchenko, Sergio Aguero, Taylor Harwood-Bellis and Phil Foden made it a routine day for City, although Tom Pope had equalised for a Vale side sitting 74 places lower in the standings.
Arsenal snapped a season-long jinx against Newcastle United with a nervy 1-0 win in their last Premier League home game on Sunday.
News of all that's transpired on and off the football field