Pavelski, a Wisconsin native, has scored 13 goals this postseason to give him 61 in his NHL career. Mullen, a New York native, scored 60, and Mike Modano, from Michigan, scored 58.
"It's fun to be up there with those guys, and we'll try to keep going," Pavelski said. "We'll look at it another day, some other time, I'm not too worried about it right now. We're trying to get that trophy."
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Pavelski scored with 6:45 remaining in the third period to tie the game 2-2, and Corey Perry scored 9:23 into the second overtime to extend Dallas' season. Pavelski's 60th goal tied Game 4 in the third period before the Stars lost 5-4 in overtime.
Game 6 of the best-of-7 series is Monday in Edmonton, the hub city for the Cup Final (8 p.m. ET; NBC, CBC, SN, TVAS).
Pavelski scored 14 goals in 67 games this season after scoring 38 for the San Jose Sharks the season before. The 36-year-old has played 160 NHL postseason games and scored two goals in the round-robin portion of the Stanley Cup Qualifiers this postseason.
Modano played 176 Stanley Cup Playoff games and won the Stanley Cup in 1999 when the Stars defeated the Buffalo Sabres.
Mullen played 143 playoff games and who won the Cup with the Calgary Flames in 1989 and the Pittsburgh Penguins in 1991 and 1992.
Pavelski is the fourth NHL player to score at least 10 goals in a postseason at age 36 or older, joining Maurice Richard (11 with the Montreal Canadiens in 1958 at 36), Wayne Gretzky (10 with the New York Rangers in 1997 at 36), and Brett Hull (10 with the Detroit Red Wings in 2002 at 37).