In a repeat of the 2023 Champions League final and only the second competitive meeting between the two clubs, there was nothing to separate the teams as both sets of defenders dominated their attacking counterparts.
The first half saw chances at both goals, Erling Haaland shot wide for Manchester City and Marcus Thuram was heavily involved in Inter's best chances.
After the restart, both teams came close to missing from close range: Henrikh Mkhitaryan went wide for the visitors and City's Ilkay Gundogan headed Josko Gvardiol's cross past Yann Sommer.
It is the first time that City has failed to score in a home Champions League match since the March 2022 draw against Sporting CP.
The result means City begin the revamped Champions League with a point from the first of eight games as part of the 36-team league stage.
In another match, Paris Saint-Germai achieved a 1-0 victory over Girona at the Parc des Princes.
An own goal from Paulo Gazzaniga denied Girona, debutants in the Champions League, a good point in Paris. Girona, the 14th Spanish club to play in the competition proper, defended well all night and looked well prepared to hold off last season's semi-finalists.
Paris winger Ousmane Dembélé failed to finish when he was clear and also hit the crossbar from the edge of the penalty area. Substitute Randal Kolo Muani also had two chances wide before Nuno Mendes' cross shot went past goalkeeper Gazzaniga.
Elsewhere, Jamie Gittens' brace and Sehrou Guirassy's brilliant penalty take ensured that last season's runners-up Borussia Dortmund got off to a winning start in Bruges.
Hugo Vetlesen was about to give the hosts the lead, but his powerful volley hit the crossbar. Club Brugge's performance forced BVB coach Nuri Sahin to make a series of attacking changes in the second half, including the introduction of Guirassy and Gittens.
The England under-21 international scored twice in 11 minutes late on, the first coming from a deflected effort before dazzling individual brilliance doubled the lead. His replacement teammate Guirassy added the third with a penalty in added time.
The first half saw chances at both goals, Erling Haaland shot wide for Manchester City and Marcus Thuram was heavily involved in Inter's best chances.
After the restart, both teams came close to missing from close range: Henrikh Mkhitaryan went wide for the visitors and City's Ilkay Gundogan headed Josko Gvardiol's cross past Yann Sommer.
It is the first time that City has failed to score in a home Champions League match since the March 2022 draw against Sporting CP.
The result means City begin the revamped Champions League with a point from the first of eight games as part of the 36-team league stage.
In another match, Paris Saint-Germai achieved a 1-0 victory over Girona at the Parc des Princes.
An own goal from Paulo Gazzaniga denied Girona, debutants in the Champions League, a good point in Paris. Girona, the 14th Spanish club to play in the competition proper, defended well all night and looked well prepared to hold off last season's semi-finalists.
Paris winger Ousmane Dembélé failed to finish when he was clear and also hit the crossbar from the edge of the penalty area. Substitute Randal Kolo Muani also had two chances wide before Nuno Mendes' cross shot went past goalkeeper Gazzaniga.
Elsewhere, Jamie Gittens' brace and Sehrou Guirassy's brilliant penalty take ensured that last season's runners-up Borussia Dortmund got off to a winning start in Bruges.
Hugo Vetlesen was about to give the hosts the lead, but his powerful volley hit the crossbar. Club Brugge's performance forced BVB coach Nuri Sahin to make a series of attacking changes in the second half, including the introduction of Guirassy and Gittens.
The England under-21 international scored twice in 11 minutes late on, the first coming from a deflected effort before dazzling individual brilliance doubled the lead. His replacement teammate Guirassy added the third with a penalty in added time.
