Michelin have assured promoters of the French Grand Prix there will be no problems with their tyres at the Magny-Cours track on July 3.
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"We have received guarantees from Michelin that the technical problems they had at the US Grand Prix would not happen at Magny-Cours," the promoters of the French race said in a statement.
The problems at Indianapolis were caused by the specific nature of that track, they added.
The teams racing on Michelin tyres refused to take part in Sunday's race at Indianapolis on safety grounds, leaving just six cars on the grid.
Michelin had advised the teams not to take part after sudden tyre failure caused crashes by two Toyotas in free practice.