The find utility supports the option -maxdepth
-maxdepth levels
Descend at most levels (a non-negative integer) levels of directories below the starting-points. -maxdepth 0 means only apply the tests and actions to the starting-points themselves.
To restrict find to the specified directory, you can add the option -maxdepth 1.
If you're trying to list all regular files *.partial at depth 2 with an output similar to that in your question, you could try a command such as
find . -mindepth 2 -maxdepth 2 -type f -name '*.partial' -printf '%h\t./%f\n' which could give an output similar to
./b ./file2.partial ./b ./file3.partial ./a ./file1.partial