Manchester United and Newcastle are on the brink of qualifying for next season's Champions League after Liverpool's 1-1 draw against Aston Villa, while Everton remain in relegation danger despite their dramatic 1-1 draw at Wolves on Saturday.United's 1-0 victory at Bournemouth, combined with Liverpool's failure to beat Villa, left Erik ten Hag's men and Newcastle within touching distance of ensuring Premier League top four finishes.Fourth-placed United and Newcastle, in third, are both three points clear of fifth-placed Liverpool, who have only one game left. RECAP | Premier League: Man United 1-0 Bournemouth Newcastle can seal their spot with a draw or win against Leicester on Monday or Chelsea on May 28.United take their turn at securing the lucrative top four place against Chelsea on Thursday and Fulham next weekend.Liverpool's final game of the season is against relegated Southampton, but although they have a superior goal difference to United if they finish level on points, they are likely to have to settle for a place in the Europa League.At the Vitality Stadium, United took the lead in the ninth minute when Casemiro spun to meet Christian Eriksen's cross with an acrobatic bicycle kick from close-range.United were unbeaten in their previous 134 league matches when leading at half-time and that remarkable sequence continued as they held firm after the interval.At Anfield, Liverpool boss Jurgen Klopp was watching from the stands as he served a touchline ban following his recent rant about referee Paul Tierney.Villa wasted a 22nd-minute penalty when Ollie Watkins fired wide after the striker was brought down by Ibrahima Konate.Despite Watkins' miss, Unai Emery's team went ahead in the 27th minute through Jacob