That last part got my attention because the Trump campaign has openly embraced similar rightist parties across Europe. That is totally off message from the Trump team's vocal support of Marine LePenn, UKIP, far-right Italian politicians, etc. I was also frankly suspicious because why would party leader Heinz-Christian Strache lie? It's a very specific thing to claim. Of course, people make things up all the time. But again, it's a very specific claim. And, to put it gently, the Trump team has very little credibility on this front.
Matt Shuham looked into it. And while we couldn't find any direct confirmation of Strache's meeting, we did find a number of pictures from other members of the Austrian Freedom Party from what they claim was Trump Tower the night of Trump's election. See them here.