Pirelli would like some tyre tests to take place with the teams' involvement, Paul Hembery has confirmed.
This week, the Italian marque's official tester Lucas di Grassi is conducting Pirelli's latest private tyre test at Monza.
But motor sport director Hembery admitted to Spain's AS sports newspaper that Pirelli would also like some more relevant data for its future development from the current crop of cars.
"We're working on it, but at the moment there's nothing to say. We're asking for help, because the Toyota 2009 car is different from those in the (current) world championship.
"It would also be good to do some testing immediately after a grand prix. We don't know yet on what date or at what circuit."
Asked if Monza is the most likely venue, Hembery insisted: "Really, nothing is clear yet."