他诚恳地向我们道了歉。He offered us his unreserved apologies.我诚恳地盼望你早日康复.I sincerely hope you will soon recover.她朝他诚恳地看了一眼, 但是他知道他不能真正地相信她.She gave him a guileless look, but he knew he couldn't really trust her....

“诚恳地”的英语可以翻译为：cordially，heart to heart ...