I fence, and I have done some work studying more medieval combat such as longsword (bastard sword) combat.
Only late period (1450-ish+ thrusting) swords ever intentionally met sword to sword and that kind of contact was deliberate and sparing, and only later when swordplay got so sophisticated as to allow fighting in double time where the sword was used defensively as well as offensively (hence, 'fencing' or 'sword defensive work').
A 'parry' is not what you might think - you never block a blow with the weapon, you only ever deflect it. As well, a parry alone is a waste - a parry's main opporunity is the riposte which is the strike made while the opponent's weapon is deflected. Because thrusting weapons provide defense through threat, removing the point removes the threat, and also removes the defense.
let me try to explain
Every sword has three areas. A strong, middle and weak.
it looks like this
O---I=STRONG===MIDDLE===WEAK=>
You can easily parry ANY weapon if you meet their weak against your strong. No weapon damage will happen (to you), and if you notice, and look at historical weapons, they often have a heavier or even unsharpened area neer the pommel to allow them to meet metal without taking damage.
To 'parry' you have to put your strong against their weak, and then move their blade "OUTSIDE THE LINE" which means make the tip of a thrusting blade not point towards your body. If your blade is pointing at their body, and theirs is not pointing at yours, all you need to do is to close the distance and you will cause them harm, unless they do something to remedy that situation.
Around the late 1300s there was a great deal of debate about the virtues of older, slower 'slashing' style combat (saber) versus newer (smallsword, longsword) combat and the faster piercing blades won by virtue of speed and engagement.
initially it was smallsword and blocking tool, such as buckler, cape or main gauche but that later gave way to 'fencing' which literally refers to 'defense' i.e. 'Defense with the attacking weapon"
so, very very long story short is that you do not generally attempt to parry with a real slashing weapon. The slashing weapon has no defensive role. If you actually DID hit the other dude's weapon, you would break or bend them both.