I can give you some general advice without knowing the specific service application. Typically, it is better to design around dissimilar metal combinations especially those dealing with welding against creep strength enhanced steels. These steels are specially formulated to provide enhanced creep strength by using very precise thermal treatments. If the welding is not performed correctly or lack of knowledge in using this material, the material will become unpredictable.
Given the cautionary warnings above and assuming you need to use this material combination in an elevated temperature environment, here is what I would suggest
1. My recommendation is to weld the 316H fitting to the P91 base material with Inco A filler metal. The Grade 91 will require a 500 deg F local preheat, prior to welding.
2. Perform local PWHT of the attachment weld at 1385-1420 deg F for 1 hour per inch of weld deposit thickness at temperature.
3. After all welding is completed, perform a final liquid penetrant examination of the fitting attachment weld.
Precaution – Since Grade 91 is a creep strength enhanced ferritic steel, it must be welded with extreme caution. One must follow strict preheat and PWHT requirements, and make sure the PWHT temperature range is not exceeded. Enforce strict temperature controls and proper hold points – preheat temp, fit up, PWHT.
Qualify this welding procedure and welder(s) to ASME Boiler and Pressure Vessel Code, Section IX.
If necessary, hire a 3rd party weld or NDT inspector to enforce the above.