The striker tucked in the opening goal of the game to help the Tigers to a 1-1 draw against his former club at the Liberty Stadium and end a run of 30 games without scoring.
Following the conclusion of the match, captain Davies was full of praise for Graham and his strike partner Yannick Sagbo.
"Disappointed to concede from a set piece but any point away is a good point. Buzzing for Danny! Him & [Sagbo] were brilliant," Davies wrote on Twitter.
Hull are now five points clear of the Premier League relegation zone in 12th.