Does anyone know if there is such a style as "solo trumpet" playing a melody like "Blade Runner Blue - Vangelis" I know it`s very specific, so thank you for any input

It's kind of a combination of smooth jazz and ambient electronica. Check out some World Ambient Symphony, Tangerine Dream, or Chris Botti.

Just listened to a few songs from Random Walk Out of The Sun by World Ambient Symphony and it's such a great album. The song Core sounds a lot like Blade Runner blues.

Other similar ambient music:
Thievery Corporation
Bonobo
Coup de Grace
Massive Attack (my favorite)
Tricky
Morcheeba (new album came out June 2011)
Portishead (old but still great)
Unkle
Aphex Twins (very trippy no drugs required)