privately

The two world leaders met privately in the garden to discuss the peace treaty.

(Chinese) 两国领导人在花园里进行了私下会晤，讨论和平条约。

She decided to fund the medical research privately after the government rejected her grant.

(Chinese) 在政府拒绝了她的拨款后，她决定私下出资赞助这项医学研究。