foo.
    bar()

You can endlessly argue what location is better for the ".", but it really doesn't really matter. Regardless, you don't really need to do parser tricks.

It also looks like shit, because now you have to check the end of the previous line to know whether it's a method call or a function call which was indented in incorrectly.

I do see what you mean, of course, and am aware of the arguments but I've never found lack of non-whitespace expression terminator even remotely confusing. I can clearly see indentation in my periphery signalling that it's multi-line. I can also say that in ~13 of using exclusively using semicolon-less languages, I've never had or even heard of a problem caused by someone misunderstanding where an expression ends.

Anyway, this is getting pretty bikesheddy, lol but ya, to each their own, obviously.