Italy after WW1 had not gained a lot of economical support and territory size despite being on the winning side of the war. The politics was absolutely chaotic and also allowed for radical parties like Mussolini's fascists to rise during the Great Depression. Many veterans after the war did not have the means to obtain employment either.
Answer - The two most famous conquistadors were Hernán Cortés who conquered the Aztec Empire and Francisco Pizarro who led the conquest of the Incan Empire.