Rigon, who is part of Ferrari's young driver programme, will be in action all three days, with Massa only driving on Friday morning to work with Pirelli's tyres.
Rigon, 26, had already driven for Ferrari in last year's young driver test at Magny-Cours.
Rigon is currently competing in the Blancpain series, in which he won the championship opener at Monza in April.
Silverstone test line-up as announced by teams so far:
* The driving schedule will be confirmed each morning