Villa came to life and Marcus Rashford, making his first Premier League start since December 1, thought he had set up an opener in the 17th minute when he played a one-two with Marco Asensio and Andy Robertson turned the cross into his own net from inside the six-yard box, but Rashford was offside.
Villa had a decent chance to extend their lead soon after the restart as Rashford was sent clear down the left and he got to the ball first before Reds goalkeeper Alisson Becker, but his shot from the touchline was cleared by Ibrahima Konate.
Liverpool came out of the blocks early and had chances to lead inside the opening 10 minutes as Virgil van Dijk slashed over from Alexander-Arnold's brilliant pass and then Diogo Jota's shot was blocked by Tyrone Mings.
Villa looked the likeliest to win it in the final 10 minutes as Jacob Ramsey had a goal disallowed for offside before Morgan Rogers and Donyell Malen shot off target in time added on.
But a minute later it was 2-2 as Villa were done on the break, with Salah getting some good fortune in beating Digne before squaring for Alexander-Arnold, whose shot deflected off Mings and wrongfooted Emiliano Martinez.
