Griffith took 45 wickets for Tasmania in the Pura Cup

The 28-year-old will stay at Grace Road until the end of the season as one of the county's overseas signings.

Griffith was the second leading wicket-taker in Australia's domestic Pura Cup competition, taking 48 wickets for Tasmania at an average of 28.85.

"Adam still has strong ambitions to play international cricket, said Foxes coach Tim Boon.

"He believes the chance to play county cricket gives him the ideal opportunity to strengthen those claims.

"He is a bowler of proven calibre, but he is hungry to achieve more success to push himself into the frame for a call-up."

Asif has returned to Pakistan for training ahead of the tour of England later in the summer.