The phrase "remembering the days when he would have gone outside" is describing the man. Participial phrases always have a participial, in this case remembering and have gone, and these phrases act like adjectives to describe the subject on the sentence. The answer is participial phrase.
Answer:
This seems to be cut off, but I have corrected the parts that are present.
Today Isaac and Evelyn RETURN from their trip to their grandparents, and their parents are looking forward to seeing them.
It makes the listener see and visualize what is actually going on. It can also be a very key part in a essay or speech