I'm writing a scene where there is a time skip, and the reader catches only the end of a piece of dialogue when we jump back in. It reads something like this:
By the time the sun had set, she had forgotten she had only just met him.
"...And then he fell into the lake."
Kirana giggled. "It sounds like you had an exciting childhood."
The idea is that this scene begins with the tail end of the previous conversation, so the reader knows the character has been telling a story and has just finished it, but without requiring me to write out the whole story, kind of like this scene from Avengers: Age of Ultron (from about 0:17-0:26 and again at 1:48-1:53).
What is the best way to make something like this "flow" properly? Should I do the ellipses at the beginning of the dialogue or is that grammatically incorrect? Is there additional narration I need to add to make this work? At the moment it doesn't sound "right" to me so what is the best way to fix this?