 Estrada died in Mexico City in the period 1533 to 1537.An act of the Mexico City government dated September 22, 1533 refers to him as alive, and a letter from the viceroy to the king dated December 10, 1537 mentions him as deceased.Alonso married Marina Gutiérrez de la Caballería, a woman from a prominent Jewish "converso" family of royal treasurers from Aragon, Spain.