Detectives are searching for two alleged car thieves after a woman was injured while trying to stop the pair from towing away her BMW.

Witnesses allegedly saw two men get out of a white Jeep on Grieg Court in Elwood, a suburb in Melbourne's southeast, at 11.45pm on November 4.

The alleged car thieves were trying to load the BMW sedan onto a trailer when the car owners returned home.

They turned into Grieg Court just in time to see the attempted theft in progress, police said.

"In an attempt to stop the theft, they crashed their car into the Jeep and the trailer," investigators said.

The woman, who was in the front passenger seat, got out of the car and approached the BMW.

The offenders gave up towing the car and got in the Jeep to drive away.

The woman was then hit by the traile

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