Gravesen was snapped up from Celtic last week and Jagielka told evertonTV: "Tommy is a fantastic person.
"The reception that he got at Bolton was fantastic to see. As a guy he seems like my best mate and I have only known him a few days! He is a fantastic character to have in the squad. "The gaffer made a few substitutions. He brought Tommy on and that gave us some forward thinking. And it was his ball from his nice yellow boots that went straight on to Joleon's head."