Check if multiple files exist on a remote server

I am writing a script that locates a special type of file on my system and i want to check if those files are also present on a remote machine. So to test a single file I use: ssh -T user@host [[ -f /path/to/data/1/2/3/data.type ]] && echo "File exists" || echo "File does not exist"; But since I have to check blocks of 10 to 15 files, that i would like to check in one go, since I do not want to open a new ssh-connection for every file. My idea was to do something like: results=$(ssh "user@host" ' for file in "${@}"; do if [ -e "$file" ]; then echo "$file: exists" else echo "$file: does not exist" fi done ' "${files_list[@]}") Where the file list contains multiple file path. But this does not work, as a result, I would like to have the "echo" string for every file that was in the files_list.