pressingly

With a sense of urgency, because it is very important.

I wrote pressingly to Mr. Boone to raise men with all expedition to join capt. Floyd.

Importantly. Often used with more in this sense.

Why would you do that on a date, and why, more pressingly, would you do that at the beginning of a date?

With enthusiasm. With friendly encouragement.

In early 1993, further education staff were pressingly invited to seminars, workshops and training days to prepare for liberation from the local education authorities.