NEW DELHI (Reuters) - Indian automaker Mahindra & Mahindra and China's Shaanxi Automobile Group have agreed to set up a $3 billion joint venture to build a car manufacturing plant in India and are awaiting New Delhi's approval, sources told Reuters.

A majority stake in the proposed manufacturing venture will be owned by Mahindra, the sources said.

The plant is proposed to be set up in Prime Minister Narendra Modi's home state of Gujarat, two sources with direct knowledge of the matter told Reuters.

The proposal includes building an export-oriented, integrated manufacture hub for assembled cars - known as completely built-up units - as well as engines and car batteries, the sources said.

Mahindra has sought a government nod for the Chinese investment, the sources said.

Mahindra declined to comment. Faxes and calls to Shaanxi's phone numbers listed on the company's website were not answered. India's commerce, heavy industries and foreign affairs ministries did not immediately reply to a request for comment.

All three government sources did not want to be named as they are not allowed to speak to media.

Indian government approval has been necessary for any Chinese investment into the country since 2020, when New Delhi tightened its restrictions on Chinese investment after deadly clashes between the two neighbours.

The investment proposal comes at a time when India is looking to ease restrictions on Chinese investment in non-sensitive sectors like solar panels and battery manufacturing, where New Delhi lacks expertise.

Billions of dollars worth of investments have over the years either been delayed or canceled due to India's additional vetting processes for the likes of BYD Co Ltd, Great Wall Motor and SAIC's MG Motor.

A proposal worth $1 billion by BYD last year has been held by the government on security concerns.

Lately, India's top government officials have been hinting at reviewing their stance against Chinese investment as foreign investments fell to 17-year lows.

India Finance Minister Nirmala Sitharaman last month said she supported her Chief Economic Adviser V Anantha Nageswaran's views. Nageswaran recently said New Delhi could promote foreign direct investment from China to boost India's exports.

(Additional reporting by Krishn Kaushik in New Delhi and Qiaoyi Li in Beijing; Editing by David Holmes)