Celebrini, who also had two assists, was sprung on a breakaway after Yaroslav Askarov stopped a shot by Brock Faber, which produced a big rebound. He has 10 points (five goals, five assists) during a four-game point streak.
Celebrini’s goal came after Joel Eriksson Ek tied it 5-5 at 17:42 of the third period by deflecting in Kirill Kaprizov’s initial shot through traffic.
Michael Misa scored his first career NHL goal, and William Eklund had two goals and an assist for San Jose (2-5-2), which went 2-2-0 on a four-game road trip. Askarov made 28 saves.
Marco Rossi and Ryan Hartman each had a goal and an assist, and Kaprizov had three assists as Minnesota (3-5-2) lost its third in a row and six of the past seven (1-4-2). Jesper Wallstedt made 19 saves.
Eklund made it 1-0 on the power play at 5:28 of the first period, banking a wrist shot in off Wild defenseman Jonas Brodin.
It was the fourth-straight game that Minnesota has allowed the first goal.
Misa made it 2-0 at 13:35 with a rebound at the backdoor. Misa was a healthy scratch in a 3-1 loss at the New Jersey Devils on Thursday.
Marcus Johansson cut the deficit 2-1 at 17:02, tipping in a Rossi shot on the power play.
Rossi tied the game 2-2 32 seconds later at 17:34 after Kaprizov forced a turnover at center ice for a 2-on-1 rush and passed to Rossi for the one-timer.
Eklund put San Jose on top 3-2 at 11:15 of the second period after Philipp Kurashev stripped Kaprizov of the puck and found Eklund alone in the low slot for the put away.
Ryan Reaves increased the lead 4-2, 19 seconds later at 11:34 with a deflection of a Barclay Goodrow shot.
Hartman brought it to 4-3 on the power play at 4:28 of the third period with a quick wrist shot in the slot. Hartman later exited the game and did not return after a collision with Sharks defenseman Dmitry Orlov.
Tyler Toffoli responded to make it 5-3 at 7:52 with a Sharks power-play goal. Celebrini backhanded a pass to Toffoli in the slot for the finish.
Zeev Buium made it 5-4 at 8:28 with a high wrist shot through traffic that deflected in.
Wild forward Marcus Foligno missed the game with an upper-body injury.
