The Indian shield (dhal) was used as noted, of course to block cuts and in parry....much as with sabre of the steppes and Central Asia, the horseman used the draw cut. As far as I have known there was little or any 'scheduled' parrying or sword to sword contact with tulwars, shamshirs or these types of swords....parrying was the work of the shield.
It seems most of the 'fencing' techniques described here with left hand dagger (gauche) are from European styles, and would suggest or involve sword to sword combat. Obviously, in the heat of combat virtually anything can happen, and combatants can and will resort to use of any means or object if thier weapons become compromised.
The katar was intended largely as a close in fighting weapon, actually in most cases more of a misercorde (coup de grace) as described in some references.
The large katars of the Deccan and South were actually used as slashing weapons, as were the patas as used by Mahrattas, often in pairs in rather a 'windmill' fashion, in demonstrations at least....unsure if such techniques used in actual combat, but as noted, probably circumstantially they may have been.
Personally I cannot imagine a katar as a parrying weapon, but it seems that some of the innovative forms with splaying sections of blade and multiple blades did imply such use after the introduction of European weapons and form. As described in "Schools and Masters of Fence" (Castle, 1884) many of these 'left hand daggers' of innovative character were more for show than actual use in Europe, but again those observations can be presumed only in degree.
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