The review was handled by the brand's global marketing office in London and the mandate covers online and offline media.
Apollo Tyres was announced as the official tyre partner of Manchester United in the UK and India in August.
Prior to the development, ZenithOptimedia handled the account in India.
Marco Paracciani, the chief marketing officer, Apollo Tyres, said: "While we have been expanding across geographies, the need was felt to have a global agency on board, which will fit in strategically at a global level, and operate on both regional as well as global levels.
"We chose Mindshare due to their strategic approach and for their comfort with sports associations, which was necessary considering our tie-up with Manchester United Football Club for the Indian and UK markets."
Gera Sulinska will coordinate the account from London as the global client lead at Mindshare Worldwide.
She said: "We look forward to forging a great partnership and to help grow their business through innovative and adaptive marketing strategies."