I reused all my yeast for beer brewing. You just need to brew cleanly (no wood or skins laying on the bottom of the primary). Then, after you rack the wine off to secondary, add some filtered water (or distilled) to the sludge and mix it up. Let that sit until it settles out (preferably in a fridge), and carefully rack the water/wine mix off the cake. Again, add some water, stir gently to bring everything into suspension, and pour it all into a sanitized container.
Yeast like this needs to be fed, so some nutrient and some grape juice would be good (not too much juice, keep the gravity down around 1.030 or so).
The clock is ticking at this point. You need to make sure that you keep the culture safe from infection and also use it before they all die off. In my last 3 years of brewing beer I typically only bought my lager yeast once each year. It's very easy to reuse the yeast once you start doing it.
HOWEVER, with EC1118 I find that spending a $1 a packet is so cheap and so much less trouble that I've never considered reusing it. If you are going to brew wine at 12-16% ABV, that alone will kill a lot of yeast. Leave that yeast in the brew for 3+ weeks and most of it will die off. It's completely obvious to me why wine brewers don't bother with the practice.