Escovedo is the biological father of television personality Nicole Richie. As Peter and Karen Moss could not afford to provide for her financially at that time, they let her move in with Lionel Richie and Brenda Harvey at the age of three. In 2003 she told People "My parents were friends with Lionel," and "They trusted that they would be better able to provide for me."
In 2014, Peter Escovedo was invited along with his father Pete and his brother Juan, by Producer Gerry Gallagher to record with Latin rock legends El Chicano as well as Alphonse Mouzon, Brian Auger, Alex Ligertwood, Siedah Garrett, Walfredo Reyes Jr., Ray Parker Jr., Vikki Carr, Marcos J. Reyes, Lenny Castro, Salvador Santana, Marcos Reyes, and David Paich and is featured on percussion on a remake of a song co-written by Willie Bobo called Sixty Two Fifty, which is featured on Gallagher's most recent studio album due out in 2017.
