The pitching matchup didn't disappoint, it took until the bottom of the third inning for the game's first hit and baserunner, with Syndergaard striking out four straight batters on two occasions.
The closest either side came to scoring was in the top of the 6th when, after Denard Span singled and stole second base with two outs, Brandon Belt hit a long fly ball to center field which was caught on the dead run by Curtis Granderson, smashing into the wall and holding on.
After Bumgarner left a runner in scoring position in the bottom of the 8th, the game moved to the 9th with the Mets bringing in closer Jeurys Familia.
Brandon Crawford led the inning off with a double to left-center, but Ángel Pagán couldn't lay down the sacrifice bunt and then struck out.
Joe Panik worked a walk and Conor Gillaspie stepped up to the plate to launch a three-run home run to right field.
Dexter Fowler led off the bottom of the 1st inning with a double and was eventually brought in to score on a two-out base hit by Ben Zobrist.
A 4-run deficit to the Major League leader in ERA Kyle Hendricks appeared to be a large one already, but the Giants did bring themselves briefly back into the game.
In the 4th inning, Hendricks took a line drive off the bat of Ángel Pagán off his arm and eventually decided to leave the game.
Bumgarner wasn't especially sharp and he struggled to put away hitters in the second inning, culminating in a three-run home run with two strikes to Arrieta.
After Hunter Pence struck out, Wild Card hero Conor Gillaspie lined a two-run triple to the gap in right-center to turn the tables and give the Giants the one-run lead.
Sergio Romo came in to try to close out the game, but Dexter Fowler drew a walk on 8 pitches and Kris Bryant sent a deep fly ball to left field that hit the top of the wall and bounced over for a game-tying two-run home run.
In the end, it was a battle of two left-handed long relievers to see who would crack first, Ty Blach for the Giants and Mike Montgomery for the Cubs.
A throwing error from Brandon Crawford that allowed Javier Báez to reach third led to a Ross sacrifice fly that immediately cut the Giants lead to 1 in the 5th.
The Giants were to hit right back as, after Hunter Pence singled with one out in the bottom half of the inning, Crawford made amends by launching a double that would have been a home run were it not for a short section of railing on the top of the wall of Levi's Landing.
Derek Law allowed a leadoff hit to Kris Bryant, Javier López walked Anthony Rizzo and Sergio Romo gave up an RBI double to Ben Zobrist setting up the tying runs in scoring position.