Newcastle and Manchester United are now both just one point away from securing their spots in next season's Champions League.
With Manchester City winning the Premier League title and Arsenal assured of second, the Magpies and Red Devils are on the brink of joining them in the Champions League after Saturday's results.
Liverpool made a late push into top-four contention but their run of seven Premier League wins in a row was ended by a draw with Aston Villa, allowing Manchester United to extend their lead over their rivals to three points with victory at Bournemouth.