Please email me their...

[Yueehs]

Do this sound natural?


Please email me their medical reports once available.

 

[tedmc]

Once they are ready?

 

[Tarheel]

Does this sound natural?


Please email me their medical reports as soon as they are available.

OK.

 

[emsr2d2]

Do this sound natural?

Please email me their medical reports once available.

It's understandable and natural enough for me. You could add "they are" between "once" and "available" but it's implied.

 

[tedmc]

I prefer ready to available as it is most likely that the report is being prepared.

 

[Tdol]

There could possibly be restrictions on the sending that delay things after they're ready.