A Swedish national who was injured in a car crash that cost the life of Cuban dissident Oswaldo Paya last week has been authorised to leave Cuba, Sweden's foreign ministry said Tuesday.

Jens Aren Modig, a political activist, on Monday night left the migrations agency in Havana where he was being held and received help from the Swedish embassy, ministry spokeswoman Anna Backlund told AFP.

"He can come home," she added, while declining to say when Modig would be back in Sweden.

Modig, the head of Sweden's Christian Democratic Youth movement, was one of four people in the car that struck a tree on 22 July in the southeast of Cuba, killing Paya, a winner of the Sakharov Prize for human rights, and another Cuban dissident, Harold Cepero Escalante.

Modig and Angel Carromero of Spain, who was driving the car, on Monday told a press conference that the crash had been an accident, denying reports that circulated in Cuba's dissident community that another car may have been involved, forcing the vehicle off the road.