Two Thai men accused of murdering a Melbourne chef in a fight have asked a Bangkok court not to extradite them to Australia.

The judge at the hearing has set November 30 as the date for judgment on the extradition of Sarud Seehaverachart and Thatiya Terdputham over the murder of Melbourne man Luke Mitchell in May 2009.

The court heard the two accused would prefer to be tried in Thailand because they are Thai citizens and believe in Thai justice.

Mr Mitchell was fatally stabbed in a fight outside a Brunswick nightclub.

The two accused were studying in Melbourne at the time.

Both accused men say a third Thai man who is still at large is to blame for Mr Mitchell's death.

They have previously said that Mr Mitchell was drunk and the stabbing was in self-defence.