Craig Noone and Fraizer Campbell came off the bench to fire the Welsh club to a 2-1 victory at St James' Park, just as Solskjaer and Teddy Sheringham did for Manchester United in the 1999 Champions League final, to secure an FA Cup fourth round berth.
The Norwegian, who earned a "super-sub" tag during his days at Old Trafford, could hardly have been more delighted.
Ole Gunnar Solskjaer: "Of course, when you turn games around, it's fantastic. That's the best feeling you have in games, when you really deserve it, and they deserved it today because they did it themselves, the players.
"You have 90 minutes to use 14 players. I picked a team that I thought was going to give Newcastle a hard game.
"We had some knocks - I had to leave Steven (Caulker), Fraizer and Craig on the bench, to be fair, because they have had little niggles. But it worked out well.
"You want players who can make an impact.
"I was part of a team and I was part of a great team. I enjoyed doing my best whenever I got the chance, and that's the message to the players - 'Come on, make an impact. You have got half an hour to run around as much as they have done in 90'.
"It's not about me, though, but it's a perfect start for the new times. The lads have had a lot to deal with lately and of course, it's nice for them to start off with a win in the cup.
"It's never easy to come up here and play, especially when you go 1-0 down. There are not too many games that get turned around up here, and the lads showed great character to do that."