Turbos and LPG work very well together my previous car pic is below:

Yes I know it's a gemini but it was straight LPG and was about 7.5:1 comp ( yes a little low for some) but due to the slower burn rate of LPG you don't hurt pistons as easily, so this car had cast pistons O'ringed block standard head modified EFI manifold to fit the 350 CFM GRA Gas carbi and a low comp 1.6 litre, it had a modified dissy no vacum adv just mechanical and softer springs so it would advance earlier and a gas camshaft. It used to pump out about 200 RWHP and got it's best economy at about 120 km's with light throttle and the turbo just spooled up at about 3000 rpm. it would do about 400 kms on 50 litres on LPG. (65 litre tank)
just more info for you. this car was built for a daily round trip of 110 kms for commuting to work. all country driving ;)
direct liquid injection has been trialed by a few companies here but they have never released a product because the metering is so difficult due to the presure differences between a full tank and an empty tank.
Cheers