Bhansali had offered films to Rajput but they could not work together apparently due to date issues.
The film-maker reached the Bandra police station along with his legal team.
The Bandra police, who are probing angle of potential professional rivalry in Rajput's suicide, are trying to understand the reason behind his depression.
Rajpit died by suicide on June 14. The police have so far recorded statements of 28 people in connection with the suicide case of Rajput (34), who was found hanging in his suburban Bandra apartment on June 14.
Rajput starred in films like 'MS Dhoni: The Untold Story', 'Shuddh Desi Romance', 'Raabta', 'Chhichhore', 'Kedarnath' and 'Sonchiriya'.
