Pirelli say Pedro de la Rosa will continue testing for them unless he finds a race seat for 2011.
A spokesperson told F1 Fanatic they were looking into the possibility of running further tyre tests during 2011, but had not decided what car to use.
Pirelli used a 2009-specification Toyota TF109 last year, but that chassis is potentially too out of date to gather relevant data. There is the possibility of using a 2010 car supplied by one of the teams instead, but only if all the teams agreed to it.
They have not yet decided how the different tyre compounds will be identified and have been testing different solutions to see how they appear on television. This included using a different colour for all four compounds.
Pirelli brought their definitive race specification medium, soft and super-soft tyres to Valencia.
They hope to encourage drivers to make more pit stops in 2011 by bringing an extreme difference in tyre specification where possible. This could include bringing the softest and hardest tyres to the same race, as Bridgestone did at Hockeneheim last year.
Image ?é?® Pirelli