Joselu, formerly of Newcastle and Stoke, headed Fran Garcia’s cross home at the far post on the hour mark.

In his first four games for his new club, Jude Bellingham scored five goals.

As Bellingham rose to meet Brahim Diaz’s cross in stoppage time, Alex Ramiro made an outstanding save.

In spite of that, the England man played a pivotal role in Real Madrid’s comeback after conceding in the fifth minute.

Chelsea loanee Kepa Arrizabalaga failed to stop Ander Barrenetxea’s second effort after pushing the first back.

Sociedad had gone 46 league matches without defeat since they last lost after leading at the break, but it was always going to be a tough battle to preserve that record once Federico Valverde leveled with a powerful shot from the edge of the area a minute after the resumption. Despite being in an open contest, the visitors had chances to extend their lead. Barrenetxea fired over after Kepa had pushed another rebound to him, and then Kepa kept another attempt out with a full-length save.

As soon as Real Madrid took the lead, they never looked like they would relinquish it.

Real Madrid’s two-point advantage over arch-rivals Barcelona remains intact as they prepare to begin their quest for a 15th Champions League title against German challengers Union Berlin on Wednesday.

In addition to Real Sociedad, last season’s runners-up Inter Milan are also in action on Wednesday.