James Gunn will return to direct the second film.
Anne Kauffman will return to direct the play, which was developed by the Vineyard.
Abrams, it is understood, will return to direct the final film in this trilogy.
Abrams is set to return to direct Episode IX after he was brought in to replace Colin Trevorrow.
James DeMonaco will return to direct the depraved antics when The Purge: Election Day is released on 1 July.
Sam Mendes will return to direct the new film, out in the UK on 23 October next year.
Chris Columbus will return to direct the film, according to The Wrap, with Elf writer David Berenbaum penning the script.
For directly employed temporary workers, this information is kept on file and their sick time is restored if they return to direct employment at Harvard within 12 months.
Diesel also said he hoped Rob Cohen, who oversaw series opener The Fast and the Furious in 2001, might return to direct a future instalment.
Mr. Netanyahu asked Mr. Mubarak to try to persuade the Palestinians to return to "direct, intensive and serious" negotiations, the Israeli government said in a statement.
Earlier this month, the Palestinian Authority president, Mahmoud Abbas, complained to reporters in Ramallah that he was under almost unbearable international pressure to return to direct talks.
