The staff of the upcoming second season of Fruits Basket have announced that the anime will premiere on 6th April 2020. They also unveiled a brand new key visual for this new season as well:

Fruits Basket Season 2 will continue where the first season previously left off. It promises to animate storylines which the original TV anime did not animate. Much of the cast and staff are returning from the first season of the new anime as well.

Synopsis via Crunchyroll:

Tohru Honda thought her life was headed for misfortune when a family tragedy left her living in a tent. When her small home is discovered by the mysterious Soma clan, she suddenly finds herself living with Yuki, Kyo, and Shigure Soma. But she quickly learns their family has a bizarre secret of their own: when hugged by the opposite sex, they turn into the animals of the Zodiac! 

Source:Comic Natalie