Hello! How are you?

I am looking for a certain manga I read a while ago but I can't remember its name.

It involves going back in time or sth, it starts with a girl thinking and crossing the road I guess, it involves a boy from her past

I think the art was more of the old type

The special thing I remember about this manga is the last page , it shows the girl and the boy in the elevator, with the door closing he says ( I have your hat/ something that belongs to you ) I don't emember exactly
but he means he has her hat which fell when she saved him in the past

sorry for the messy description but my only lead is the last page and I couldn't ing anything by googling

Thanks in advance!

Heptagon

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~4400 manga completed
~1700 ongoing...

Thank you so much! That's it! Thanks a lot!