"We are still doing our analysis so we have to go away and understand what's happened and get to the core of the issue. We take these things seriously. It was one tire, the left rear. When we have the answer we'll let you know."
Pirelli had wanted to introduce a new tire construction at the Canadian Grand Prix earlier this month but failed to get all the teams to agree to the change at a meeting in Monaco.
The weakness of the tires had been masked in Montreal but the high-speed nature of the Silverstone circuit in the heart of England brutally exposed their frailties.
"Pirelli appeared to come up with a solution with a different construction and that was being offered from Montreal," said Red Bull's chief technical officer Adrian Newey.
"Two or three teams vetoed that because they were worried it would suit other teams more than them and because of that short-sightedness we have F1 putting on the worrying performance it did today and concerns over driver safety."
The sport's governing body, the FIA, are coming under pressure to force through a change in tires with or without the consent of the teams.
As a result, the issue is due to be on the agenda at a meeting of the Sporting Working Committee on Wednesday ahead of the German Grand Prix with Pirelli invited to attend by the FIA.
Later on Sunday Rosberg was subsequently handed a reprimand after the race for failing to reduce his speed under yellow flags, which are waved to warn drivers to slow down.