The two Liverpool clubs have said they will work with Merseyside police to identify those responsible, adding that "hate has no place in football."
"Both Everton and Liverpool Football Clubs jointly condemn the defacing of buildings and murals ahead of the Merseyside derby," a joint statement from the clubs read.
"Both clubs will work together with Merseyside Police and will support the investigation in finding those responsible. Hate has no place in football.
"Together, Everton and Liverpool Football Clubs and their supporters will continue in representing our city in the fight against all forms of discrimination."