Five drivers suffered tyre blow outs during the race, raising doubts about the safety of Pirelli's tyres ahead of this weekend's German Grand Prix.
Bernie Ecclestone and FIA President Jean Todt met following the race to come up with a solution.
"They [Pirelli] have complained in the past when these tyres have delaminated - which is certainly nothing to do with it," Ecclestone told Press Association.
"They've said they'd like to sort it out, but they don't have a chance to do any testing because of these bloody silly restrictions we have."
"But I spoke to Jean Todt over the weekend and he has said 'Let them test'."
"So he has allowed them to run two three-day tests between now and...well, when they want, to try and do something for next year, as well as this year, so that's exactly what's going to happen."
When asked whether Pirelli would be allowed to test with a 2013 car, Ecclestone said "They can use what they like. No restrictions. None at all, so they can do what they want."
There had been speculation that some of the kerbs could have caused the problems, something which British Racing Drivers' Club chairman Derek Warwick vehemently denied.
"These kerbs have been in since 2009 and we have had thousands and thousands of cars go over these kerbs and they have been absolutely fine," he said. "We have had them checked by the FIA and they conform fully with the FIA."