Cuban citizens who have authorized the Residence Permit Abroad known as the PRE, have the same civil rights and duties Cuban citizens, according to the provisions of Article 11 of the Civil Code, so in your case if can buy a house in Cuba, as established in Article No. 2 of Decree-Law No. 288 dated October 28, 2011 amending Law No. 65 of the Housing Act, dated December 23, 1988 . But if the ownership of the same is in your name not your mama can request authorization to lease rental housing because that processed only the owner can apply for housing.