if requested residence in Cuba, with the intention of purchasing a home overstep I must stay in the country or I can come and go as living abroad?
If you apply for permanent residence in Cuba have the same civil rights and duties natural Cuban people residing in the country, including Cuban citizens who hold immigration status of residence abroad (known as PRE) or permit undefined output, given by Cuban immigration authorities under the provisions of Article 11 of the Cuban Civil Code, according to article No. 2 of Decree-Law No. 288 dated October 28, 2011 amending Act No. 65 housing Act, dated December 23, 1988, so you can get home ownership either by transmission of inheritance, purchase or donation of the same. As set out in Decree No. 26 Regulation of the Migration Act in article No. 90 which means that you can acquire permanent residency in the country the foreign spouse of a Cuban citizen with permanent residence in Cuba, (or either by marriage to a Cuban citizen), you can leave the country at any time but with the same regulations of a Cuban citizen with permission to travel abroad for a period of up to 24 months and return, otherwise stated as an immigrant and loses all rights in relation to the property you purchase. If you has the status of Cuban immigrants to apply for residency in Cuba should address Cuban consular country of residence.