Odisha FC were a little too predictable and Hyderabad's defenders were able to deal with them without too much discomfort.
With the draw, Hyderabad are at third spot with 24 points from 17 matches while SC EB are at ninth with 17 points
The contest was marred by injuries to key players from both teams as Jairo Rodriguez, Raphael Messi Bouli and Aridane Santana had to be substituted in the first half. The changes affected the pace of the game that ultimately ended without a winner.
Odisha FC made a strong case for play-off qualification with a 2-1 victory over Hyderabad FC in the Indian Super League encounter, in Hyderabad, on Wednesday.
The Nizams remain unbeaten in the competition while JFC are yet to taste victory.
All the results from the I-League and ISL matches played on Saturday.
Getting four points from two outings is best start in the league for Hyderabad.
Hyderabad made a disastrous start to the game as Chinglensana Singh was sent off as early as the fifth minute.
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A brace from Fran Sandaza (58, 63') and goals from Aridane Santana (86') and Joao Victor (90') helped Hyderabad climb to third on the league table.
It was one-way traffic in the opening half with Hyderabad all over Odisha. Their dominance saw them head into the break with a one-goal advantage after creating numerous chances.
Coach Manuel Marquez seemed to have prepared well for the Mumbai test. The Nizams pinned their opponents with their high pressing approach, thus nullifying Mumbai's danger.
Both teams failed to create clear-cut chances in the first-half, staying defensively organised. As a result, no shots on target were registered. But it was Goa, who appeared more threatening.
Vicuna rang in five changes to the side that drew against SC East Bengal while Hyderabad made two changes with Liston Colaco returning to the starting eleven.
Hyderabad settled the tie in their favour in the second half through late goals from substitute Liston Colaco (85', 90').
There was some drama at the end as ATK forced a series of corners but a goal did not materialise.
Chennaiyin FC and Odisha FC shared the spoils after a thrilling 2-2 draw in the Hero Indian Super League, at the Jawaharlal Nehru stadium, in Chennai, on Thursday.
Goals from Matti Steinmann (6th) and Anthony Pilkington (68th) secured the victory for SCEB
Adam Le Fondre put Sergio Lobera's men further ahead in the 59th minute as Hyderabad tasted their first defeat of the season.
A 10-man Odisha FC registered their second win of the season, beating Hyderabad FC 3-2 in the Hero Indian Super League match, in Pune, on Wednesday.
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After constant pressure, Bengaluru were finally rewarded with the equaliser in the 82nd minute when Paartalu nodded in Cleiton's in-swinging corner.