In a hearty manner.
- Nuttall's Standard dictionary of the English language. By Nuttall, P.Austin. Published 1914. (adverb) (adv.) (adverb)

Usage examples:

So sir, heartily well met, and most glad of your Company Volce.
- Coriolanus by Shakespeare, William
One day she was telling father some old story about Mr. Desmond, a 'good thing' she called it, and she was laughing heartily but he wasn't, and when she had finished, I remember, he said something to her about want of 'delicacy of feeling, ' or something like that.
- Rossmoyne by Unknown
You found him in here, laughing heartily
- Right Ho, Jeeves by P. G. Wodehouse