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Gokulam pressed hard to find the equaliser but Chennai City defended as a compact unit to hold on to the lead.
For Blasters, it will be a chance to restore pride with coach Vicuna believing his boys are still in contention for the play-offs.
Hyderabad FC piled further misery on NorthEast United, extending the Highlanders' winless run to six games with a thumping 4-2 victory.
Blasters failed to play as a cohesive unit and looked like a group of individuals with no plan.
Despite the win, Odisha stay at the bottom of the table with five points from nine games, while Blasters are in 10th spot with six points from nine matches in the 11-team league.
SCEB took the lead through Bright Enobakhare's (79') stunning solo goal. But Goa fought back with a goal from substitute Devendra Murgaonkar (81').
The former champions had seen three losses on the trot with the last one being against Mumbai City FC on Tuesday and club director Parth Jindal made it known that Cuadrat was not sticking to the "team philosophy" this season.
Odisha lie bottom of the table, and are yet to win a game or to keep a clean sheet and are probably Blasters' best chance to get three points in a packed schedule.
Goals from Mourtada Fall (9'), Bipin Singh (15') and Bartholomew Ogbeche (84') helped the Islanders remain unbeaten in their last eight games and climb to the top of the table.
A superb second-minute lob by Danny Ings gave Southampton a surprise 1-0 home win over leaders Liverpool.
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