RubenGA,
Just a bit of caution for joining 316L to 316Ti;- usually the 316Ti is selected for high temperature applications and you get a note in the ASME II Table D, mentioning the minimum 0.04% carbon content for temperatures above 550 deg C. Since the welding to low carbon stainless steel will dilute the carbon content, you run a real risk of carbide precipitation which will affect the corrosion resistance of the weld.
I would use the Note G12 which is referring to the heat analysis;- you can get good 316Ti forgings with suitable heat analysis certification, despite the Table D not listing the 316Ti forgings. Then the welding would not be an issue at all.
Cheers,
gr2vessels