Red Bull team principal Christian Horner has suggested that Pirelli should revert to last year's tyres on safety grounds.
Five drivers suffered tyre failures during the British Grand Prix, which was won by Nico Rosberg.
Sebastian Vettel's first set of tyres suffered from cuts, leading to Red Bull deliberately raising the tyre pressures for his next stint.
An emergency meeting will be held in Paris on Wednesday in order for the FIA, Pirelli and the Sporting Working Group to discuss the problem.
"The most important thing is to understand the problem," said Horner. "Pirelli need to go away and reflect and understand what has happened. We need a solution because someone will get hurt if that keeps happening."
"The most logical thing would be to go back to the tyres that have worked for them well previously. Certainly last year, we didn't have these failures."
Horner stressed that he was not seeking a competitive advantage by suggesting that 2012's tyres should be used.
"The problem with that is that teams are always perceived to be chasing competitive advantage. But I think, from our perspective, we were leading the race on these tyres, we've won races on these tyres."
"I would urge to change purely on the grounds of safety."
McLaren team principal Martin Whitmarsh also backed the idea.
"In 2012 we were not having this problem. Therefore, if that is a known, established, durable specification, you would have thought that is the easiest thing to do."