Arsenal were extremely close to helping Watford but Edward Nketiah's header hit the post and Villa's goalkeeper Pepe Reina was close to scrambling the ball.
Villa and Watford stand at 34 points, but Villa have one goal better goal difference. Bournemouth park in the penultimate place with 31 points, but have the chance to survive.
Everything will be decided in the last round on Sunday. The matches for the relegation-threatened trio: West Ham – Aston Villa, Arsenal – Watford and Everton – Bournemouth.
It is already clear that Norwich will have to leave the Premier League.