The best chance of the second half fell to Suhail Bhat when Rai found him with a beautiful low cross. But before the young forward could take a shot, Elsinho did exceptionally well to clear the lines.
Chennaiyin created chances in the second half but failed to find the opposition net.
The Tuskers now have 16 points from seven matches, three clear of FC Goa who have played two matches less.
Earlier in the 16th minute, Ashutosh Mehta showed excellent skills and tried to create a chance from the right flank. CFC defenders intercepted the attack before he could hand the ball over to Manvir Singh.
Chennaiyin FC got the better of Hyderabad FC 1-0 to snap a three-game losing streak in the Indian Super League in Chennai on Wednesday.
Hyderabad FC opened their account after a goal-less draw against Chennaiyin FC in the Indian Super League (ISL) in Chennai on Tuesday.
At 40 years and 126 days, Sunil Chhetri became the oldest hat-trick scorer in the ISL history
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Chennaiyin remained fifth with 18 points from 13 matches, but a victory would have taken them at the top of the tree with Hyderabad FC having 20 points from 12 outings.
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NEUFC are the fourth highest scoring teams with 42 strikes.
Debutants Mohammedan Sporting Club earned their maiden victory at the Indian Super League (ISL) after they defeated Chennaiyin FC 1-0 with Lalremsanga Fanai scoring the solitary goal of the game in Chennai on Thursday.
Bagan started in a positive fashion as Manvir, who has fallen out of favour with national coach Igor Stimac, played a one-two with Dimitri Petratos before slotting it past Chennaiyin goalie Debjit Majumdar.
Roy Krishna scored inside five minutes to give the Blues an early advantage but Prasanth Karuthadathkuni scored at the stroke of half-time to restore parity.
Chennaiyin FC returned to winning ways with a 2-1 victory over Odisha FC
While the Red & Golds secured their fourth win in their last five matches in the competition, Jamshedpur FC, on the other hand, were inefficient in creating and finishing chances.
Chennaiyin's defense was a tough nut to crack as Eli Sabia and Vishal Kaith came with crucial interceptions and blocks to deny Sunil Chhetri and Paartalu.
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.
The Yellow Army rose to the third place in the points table while handing the Marina Machans their second defeat of the season, which saw them drop to sixth.
Chennaiyin went into the lead after Suhail Pasha's header took a deflection from Hira Mondal and went inside the net for an own goal.
Chennaiyin were off to a good start, but in no time Mumbai were back to doing what they do best, keep the ball and dictate the tempo of the game.
Defending champions Bengaluru FC registered their first victory in this season's Hero Indian Super League, thrashing Chennaiyin FC 3-0, in Bengaluru, on Sunday.
India international Anirudh Thapa scored in the first minute to set up Chennaiyin FC's 2-1 win over Jamshedpur FC in an Indian Super League match, in Vasco, on Tuesday.
Adam Le Fondre smashed in a 75th-minute winner after Hernan Santana (45th) had cancelled Jakub Sylvestr's first goal.
A spot-kick from Noah Sadaoui (44th minute) was enough for Kerala Blasters FC to secure a win.
On a night of missed opportunities, the two-time champions rode on goals from Rafael Crivellaro and Nerijus Valskis in the 57th and 59th minutes respectively to pocket three points, which takes it to sixth in the points table with 15 points.
The scoreline remained 2-2 at the end of full-time and five minutes of added time despite the best effort of both sides to find the elusive winning goal.
Hyderabad came out of blocks with aggression. They had a plethora of chances with Joel Chianese in the centre of most of moves.
Brandon Fernandes returned to the side as Goa coach Juan Ferrando named three changes to the line-up that lost against ATK Mohun Bagan with Aiban Dohling and Jeorge Ortiz being the other two.
Second-half strikes by Federico Valverde, Brahim Diaz and Endrick gave feeble Real Madrid an unconvincing 3-0 win over lowly Real Valladolid.
Portuguese forward Goncalves opened the scoring in the 15th minute, before putting Chennaiyin two-up by converting a penalty in the 21st minute.
It was Chennaiyin FC's first win in 289 days, bringing a lot of relief for Gregory, who two weeks ago was contemplating an exit.
Bengaluru FC snapped a seven-game winless run to record a 4-2 victory against Chennaiyin FC
Here is a round-up of results from the ISL and I-League matches played on Monday
Nerijust Valskis struck twice as Chennaiyin FC hammered Jamshedpur FC 4-1 in an Indian Super League match in Chennai on Thursday to boost its chances of making it to the play-offs.
Both teams showed urgency to find the winner but were denied, with Malaysia coming close just before the final whistle.
Chennaiyin FC went through to the final 6-5 on aggregate, thanks to their 4-1 victory at home in the first leg.
All matches of the Bhausaheb Bandodkar Memorial Trophy 2024 will be broadcast live on Sportscast India's YouTube channel and live-streamed on FIFA+.
Two-time champion Chennaiyin FC opened its account in ISL-6 with a goalless draw against Mumbai City FC in its first home game of the season at the Nehru stadium, in Chennai, on Sunday.
ATK may have qualified for the play-offs, but the loss came as a big blow to their AFC Champions League qualifying aspirations with FC Goa taking a three-point lead at the top with only a match left for the league stage to conclude.