Yet Valencia have also played the same number of games.
The immediate response from Barcelona was strong, with Messi and Philippe Coutinho only denied by last-ditch challenges after driving into unsafe positions, while the former also had a free kick saved by Neto in the eighth minute.
And in the 65th minute Barcelona level the scores after Messi's wonderful strike from the edge of the box rested in the bottom corner of Valencia.
A minute into the second half Messi forced Neto into a low save, although Ter Stegen produced a better effort one-on-one with Rodrigo from another counter-attack on the hour.
Once again it was Messi to whom Barca looked for inspiration and he did not disappoint.
Suarez created panic in the visitors' defence and Arturo Vidal backheeled a loose clearance to the Argentinian who took a touch before curling a shot around Garay and inside the post.
Coach Ernesto Valverde said Messi was undergoing medical exams.
Barca could see their lead at the top cut to three points if Atletico Madrid beat Real Betis on Sunday, but in the meantime they will turn their attention to Wednesday's Clasico in the cup.
'You can feel disappointed when you are 2-0 up and then draw but that's not how I feel, ' he said.
Getafe, which condemned the violence, rose to fifth as the small Madrid-based club continued its impressive season on the field.
Barca fans have a taste for comebacks and they started the second half with Messi immediately threatening at goal.
Fourth-placed Sevilla have won only one of their past six league games.