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Spoiler
I was curious myself. I googled it but didn't find any useful answer. So I went to sleep and awoke with this possible interpretation in mind:
First, think back to the scene where they were drawing on the back of the artwork at the hotel. Remember that we never got to see what they drew/wrote.
In the end, as she is looking at the guest survey, and sees the arrow and instruction to "turn over," she flips the card, and it looks like the word "remember" is there...
I think he's reminding her that he has a message for her behind the artwork at the hotel (which she would also have to "turn over" to read). And of course to retrieve the message would mean another trip back to NYC, somehow acquiring or getting into that exact room, and hoping the message is still there.
For two who seem to believe in serendipity, it's perfect. It leaves open the possibility of another adventure. And another adventure on top of that depending on what the message says.
I'm pretty sure she'll take him up on the adventure.
Anyway, that's my two cents.
First, think back to the scene where they were drawing on the back of the artwork at the hotel. Remember that we never got to see what they drew/wrote.
In the end, as she is looking at the guest survey, and sees the arrow and instruction to "turn over," she flips the card, and it looks like the word "remember" is there...
I think he's reminding her that he has a message for her behind the artwork at the hotel (which she would also have to "turn over" to read). And of course to retrieve the message would mean another trip back to NYC, somehow acquiring or getting into that exact room, and hoping the message is still there.
For two who seem to believe in serendipity, it's perfect. It leaves open the possibility of another adventure. And another adventure on top of that depending on what the message says.
I'm pretty sure she'll take him up on the adventure.
Anyway, that's my two cents.