She had hitched a ride from an unidentified motorcycle rider to go back to her lodge, after attending a cultural programme, on Friday night, they said.
The lady, who earlier had decided to hire a taxi, agreed to go with the accused on his bike, as she had met him during the cultural programme which they both attended. Later, he took her to an isolated place, where she was assaulted and raped, police said.
"We are awaiting medical examination reports of the victim who came to the police station in injured condition," Deputy Superintendent of Police Mohan Naik said.
Police said the accused can be tracked down with the help of the passes issued to people for the cultural programme.
This is the second case of abuse against foreigner registered in this tourist state during this week. Earlier, a Russian lady had complained of molestation against a shack owner in south Goa who had allegedly tried to drag her in the jeep.