“I would love to come.”
I would love to … is a warm, enthusiastic response to an invitation or suggestion. It sounds gentler than I want to … and conveys pleasure. It is usually shortened to I'd love to, but Frank avoids contractions.
A1-25 / CEFR A1 / EPISODE 25
Inviting someone to a birthday party
SceneTina invites Frank to her birthday party.

WORDS & CONTEXT
I would love to … is a warm, enthusiastic response to an invitation or suggestion. It sounds gentler than I want to … and conveys pleasure. It is usually shortened to I'd love to, but Frank avoids contractions.
By saying only Frank's name, Tina implies “You know my favorite color, don't you?” Frank understands and replies ...Pink.