He was born in Zamora, studied at Salamanca where he was a singer, and in 1536 joined the papal choir in Rome as only the second Spaniard to be admitted after Cristóbal de Morales.
When he left the papal choir he returned to Spain, taking a non-resident prebend at the cathedral in Segovia.
Records from the Vatican, the Diarii Sistini, show that he was fined on two occasions for calling a fellow singer an "ass" and a "fat pig", and that he was inexplicably excommunicated for one day in 1546.
[2] Despite this, he was well regarded as a theorist and was famously involved in judging the public debate of 1551 between Nicola Vicentino and Vicenzo Lusitano over the relevance of ancient Greek modes to 16th century music.
[3] Escobedo has been speculated to be the teacher of Tomás Luis de Victoria, but no firm evidence of this has been uncovered.