Parrikar told reporters that the government will however not pardon heinous crimes.
Meanwhile, a Goan youth has been arrested in connection with the killing of the Nigerian national, police said on Wednesday.
The special investigation squad, arrested Surendra Pal Tuesday night for hacking a Nigerian Obodo Uzoma Simeon to death along with others in Parra village, last week.
Surendra Pal was arrested from Chapora, a beachside village in north Goa.
The village panchayat of Parra, the home to several Nigerians in Goa, has decided to launch a crackdown on house owners who have illegally rented out their places to foreigners.
