Burnley took an early lead at Tottenham but faltered late and have joined Sheffield United as one-and-done teams in the Premier League.
A bit of positive momentum heading into the summer transfer window, as Tottenham snap four-game losing skid in home finale.
Brighton and Hove Albion move into the top-half of the Premier League table, while Newcastle open up sixth-place discussion with dropped points.
Olise, Mateta and Eze all scored as 10-man Crystal Palace secured a fifth win in their last six games against ragged Wolves.