Mumbai City FC edged Chennaiyin FC 1-0 in their ISL opener at the Mumbai Football Arena, with an own goal by Pritam Kotal proving decisive in a tightly-contested clash.
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The Mariners will return home for the Kolkata Derby against East Bengal on October 29.
Krishna gave early warnings after a Kauko through ball sent him clear but the veteran Fiji striker, back in the starting XI after an injury layoff, found the post in his way.
But they missed a flurry of chances with the striking line-up of Manvir Singh, Ashique Kuruniyan and Liston Colaco showing little coordination upfront, underlining the lack of firepower in the absence of Roy Krishna and David Williams.
FC Goa's slim chances of making the semis all but went up in smoke as they remained on 18 points from 17 outings.
ATK Mohun Bagan moved to the top of the table and Kerala Blasters FC entered the top-four after the two sides played out an entertaining 2-2 draw in the Indian Super League.
ATKMB looked the likelier of the two teams to take the lead in the opening exchanges, with the Mariners needing two goals at least to make a comeback.
Roy Krishna had a couple of half-chances thereafter but good reflexes from Mirshad Michu in NorthEast goal and Krishna's inefficiency to keep the ball on target kept the score to 1-0.
The two teams will go up against each other again on Wednesday for the second leg