The two teams had also been locked in a goalless stalemate in the first-leg encounter in Goa on November 9.
The drawn game kept Mumbai in fifth spot in the table with 12 points while the visitors too remained in seventh spot with 9 points, two better than bottom-placed Delhi Dynamos.
Incidentally this was also Mumbai's third successive goalless draw in the league.
But they lacked sufficient support from the likes of Subash Singh, who wasted a few gilt-edged chances, and Lalrindika Ralte.
Goa came into the picture late in the second half after an initial foray. The latter half saw both teams having an almost equal share of exchanges.
The opening salvo was fired in the fourth minute by the visiting team when Mandar Dessai shot over the crosspiece from the left after using Brazilian midfield mate Andre Santos to run into the penalty box.
Six minutes later the home team got its first corner award which went waste as Czech defender Pavel Cmovs left footed on the turn wide of the post.
A dangerous run from their own half by Stohanzl after outsprinting three rival players also went fruitless in the 18th minute as his minus pass from the byline found no takers.
Soon afterwards Subash Singh blasted wide a shot after being fed superbly by Moritz.
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