Can someone explain to me, how this question about Skype can be migrated to Web Applications, because it is found off-topic in Super User? Exactly since when Microsoft has turned its base communication program into web app?
As I mentioned in comments, your question explicitly asks
But, is there any way to do this on-line, directly from Skype website?
and it is not about …
websites or web services like Facebook, Twitter, and WordPress,
ergo, it's not on topic. Whether or not Skype is a full blown desktop app isn't relevant, you're asking for something which needs to be done from it's Web application equivalent and hence was migrated