A lacklustre display from both sides in the opening 45 minutes saw no efforts on target in the first half, leaving the teams level at the half time.
After the restart, David Concha came close to opening the scoring for the hosts as he tried to head in from a corner, but Adrian Ortola made the save in the Barca B goal.
David Miguelez also tested the keeper, forcing a save from Ortola before firing the rebound just high of the crossbar, while Javi Soria blasted the ball wide with a 20-yard shot.
Racing continued to push into stoppage time, with Kone coming close to late winner, but his shot from close range was sliced inches wide, ensuring that the sides finished level.
RACING: Mario Fernandez Cuesta, Inaki Saenz (84′ Alvaro Garca), Jesus Perez Francis, Francisco Javier Soria, Mamadou Kone, David Miguelez (88′ Ivan Moreno), Juan Pedro Juanpe, Saul Garcia, Pedro Orfila Artime, David Concha, Fede (69′ Borja Granero)
BARCELONA B: Mario Fernandez Cuesta
Adrian Ortola Vano, Alejandro Grimaldo Garcia, Patric, Sergi Samper, Adama Traore (80′ Maxi Rolon), Jean Marie Dongou, Joan Roman (65′ David Babunski), Frank Bagnack
Juan del Camara (46′ Bicho), Diawandou Diagne, Lucas Gafarot