F1's sole tire supplier had been under pressure to find a safer solution after a series of tire blowouts wreaked havoc during June's British round of the world championship.
The new tires blend 2012's more solid construction with this season's softer compounds and, after three days of testing, both Pirelli and the drivers believe a safe compromise has been found.
"The consistency and safety of the tires is better," said Massa. "Nothing has happened here in terms of the punctures that we have seen and that is the most important thing."
Vettel added: "We have had three days with different drivers in different cars and no failures. That's good."
Pirelli expect the new tires will provide an "interesting mix of race strategies" although many of the drivers at the Silverstone test are predicting the new rubber will mean fewer pit-stops are made during the race.