Well David, I'm not used to having a camera do my thinking for me, but as I understand it, the TTL function shuts off the flash when it thinks the film has received enough light. I don't think it cares where the light comes from, so the trick is to not expose for available light significantly higher than the flash guide number would give you.
Here's a simple example of manually controlled available/flash combo I used for years as a wedding photographer when shooting outside - for any camera that will synch at all shutter speeds (which I belive the 503cw does):
If you are shooting in bright sunlight, and you want to use the flash as a fill to soften the shadows, say at 1:2 lighting ratio - if the f-stop of the flash as the only light at the distance from the subject is f11, read the sunlight - if it gives you f11 at 1/250 shoot f16 at 1/125. This makes the sun your main and allows 50% fill from the flash.
If you are shooting in lower light and want the flash as the main and available light as the fill (assuming the same 1:2 lighting ratio) set the f-stop for the flash (say its f11 again) and the meter calls for f11 at 1/60, then shoot f11 at 1/125. This lets the flash take over the main lighting of the subject and fills in with available light.
Hope this helps.
Bob