Chelsea have Champions League qualification in their own hands and Aston Villa moved into the top five as both teams won in the Premier League on Friday.
The Blues looked as if they were going to drop to sixth before Marc Cucurella’s 71st-minute header earned a 1-0 win over Manchester United.
Aston Villa, who would have had their fate in their hands had Cucurella not scored, beat Tottenham 2-0.
Unai Emery’s side are up to fifth, but sixth-placed Manchester City, one point below them, play Bournemouth on Tuesday (20:00 BST) in their game in hand.
Chelsea know a win at Nottingham Forest on the final day would seal a Champions League spot, but seventh-placed Forest are still in the hunt themselves.
Cucurella said: «Step by step we are creating something special and now only two games left to achieve something special.
«The most important thing is it depends on us, so we have to play the game on Sunday [25 May] and then we are thinking about the [Conference League] final [against Real Betis].»
Aston Villa will probably have to beat Manchester United at Old Trafford and hope rivals drop points.
«We can get Champions League, fantastic,» said Villa boss Emery.
«We are wishing to continue in the season we are doing. We are now in a good moment.»
England will have six teams in next season’s Champions League — the top five in the Premier League and the winners of the Europa League final between Manchester United and Tottenham.
The bonus fifth spot through the league came as a result of English teams’ good performances in Europe this season — with Spain also gaining one.
Arsenal host Newcastle on Sunday (16:30 BST) in a game that could go a long way to deciding another place or two.
The Gunners would seal their spot with a win, while a draw would practically make it safe because of their superior goal difference.
Newcastle would go up to second with a win and take them close to sealing a Champions League place.
If Arsenal lose that game, they could yet finish outside the Champions League places, despite having seemingly had second place sewn up for months.
However, they do play rock bottom Southampton on the final day.
FA Cup finalists Manchester City have to get at least a point on Tuesday against Bournemouth to go back into the top five.
While six sides wrestle over the remaining up-for-grab spots, Liverpool have long been guaranteed Champions League football and have already won the Premier League.
Forest’s chances are now quite slim and they visit West Ham this Sunday (14:15) knowing a defeat would end their hopes. They sit four points off the top five.
The prize of a place in the Champions League has added spice to Wednesday’s Europa League final between Manchester United and Tottenham in Bilbao.
Both have endured wretched Premier League seasons and sit 16th and 17th respectively in the competition, but a highly lucrative crack at Europe’s elite is nonetheless within touching distance.
