Lobophytums typically reproduce by broadcast methods. They can form daughter colonies, but it is after some type of damage has occurred previously.
Here are a couple of articles that discuss that:
http://www.int-res.com/articles/meps/12/m012p137.pdf
http://www.advancedaquarist.com/2008/10/aafeature1
Any chance that something was nipping at your coral, Carmen?
Mitch