In Jurgen Klopp's final Premier League showdown against Pep Guardiola, Liverpool trailed at half-time to John Stones' opener from Kevin De Bruyne's corner. But the hosts roared back in the second period after Alexis Mac Allister levelled from the penalty spot.
Despite missing a number of key players to injury, Liverpool missed a host of chances to open up a four-point lead over City, who are aiming to become the first side to ever win four consecutive English top-flight titles.
A share of the spoils leaves Arsenal top on goal difference from Liverpool with City one point back in third.
"We had very good chances, unfortunately we couldn't get the winner but overall bittersweet," Van Dijk told 'Sky Sports'. "Based on the second half you feel we should have won it, but they hit the post as well. It was so close.