The play is helmed by Nina Raine, who recently directed Greig in the Whatsonstage.com Award-nominated Jumpy, and runs in the main space from 7 March to 6 April (previews from 28 February).
The cast will also reportedly feature Jonathan Bailey, Natasha Little, Eve Ponsonby and Catrin Stewart.
Based on two short stories by Chekhov, novelist William Boyd (An Ice-Cream War, Any Human Heart, Waiting for Sunrise) spins "a tale of nineteenth century Russian life both familiar and unfamiliar".
When Kolia is invited to visit his oldest friends on their estate in the country he anticipates a pleasant break from Moscow life. But as the comedy of provincial life plays out around him, he finds himself adrift in a miasma of false expectations, missed opportunities and unspoken passions.
Tamsin Greig's other recent stage credits include The Little Dog Laughed in the West End, for which she won a Whatsonstage.com Award for Best Supporting Actress in a Play. Comedian John Sessions, who trained at RADA, is a familiar face on panel shows including QI and Whose Line is it Anyway?. His film credits include Made in Dagenham and The Iron Lady.
In other recent casting news: