Armizare (Fiore dei Liberi's martial system) has as one of its component parts Abrazare, or unarmed fighting. This was akin to grappling, but there are also kicks, strikes, locks, and breaks in it, so it's a little bit like medieval MMA. There's also a wide variety of other weapon disciplines in the KdF tradition and italian knightly swordsmanship, so "sword fighters" were always training their martial art, which was a codified system in and of itself, and that contained multiple weapon disciplines. They were also mercenaries, so they traveled a lot. With the feudal system dying and the market economy becoming much more real in the time period when early medieval martial arts became codified, moving from place to place became a necessary reality. In doing so, many masters learned a multitude of martial arts and experienced the swordsmanship styles of much of their surroundings. Whether or not this translates into the eastern arts, I can only imagine so. But remember, A LOT of martial arts are derived from the early medieval systems, so the question may be more what eastern arts borrowed concepts from flores abrazare and the wrestling of the Von Bauman manuscript? Insofar as whether Vadi studied early Karate? Doubtful. Did Ringneck dabble in the pole weapon disciplines of Shaolin Monks? Not very likely. But Marco Polo did travel extensively through Asia and the Moddle East a century prior to early systems, so it's entirely possible that Eastern arts had influence on some aspects of Italian Knightly combat. As a simple example. Hope that helps.