Yitay: See this quote of R’ Shachter (Midway through the post, in hebrew)
http://www.theyeshivaworld.com/coffeeroom/topic/making-bread-in-fleishig-pan/page/2#post-360338
You may want to read the whole thread if possible. While the milk may be batel beshishim, it is certainly assur to be mevatel in order to eat it with meat. That is the accepted psak based on the Tzemach Tzedek, and brought down by the Darkei Tshuva, and Badei Hashulchan, and approved by R’ Belsky.