Could what you see be a type of liquid solder? I know a guy who used this to put mini's together years ago. You may want to try putting a little acetone on one of the blobs to see if this will dissolve it, before you bring in the heat.
I agree with Tiki Monkey, this sounds like JB Weld or something similar. If you've got a blob of solder, it means that the person using it didn't heat the receiving pieces correctly and it didn't form a correct bond. That bond would be easily broken, which I take from your request for advice that it isn't.
Finally, if this is actually solder, you should see some flux residue around the edges, especially if this is a poor soldering job. If there's a yellowish or even amber looking substance around the edges of the blob, it's solder. If not, you've either got some other kind of joining compound or fluxless solder, which is a whole different type of a PITA.
Let me know what you find, I've worked as a electronics tech on and off for about 20 years now so I may be able to help you with the mess if it actually is solder of some sort.
Also, last but not least, make sure what this stuff is before you break out the solder wick. That stuff turns into an awful mess if you try using it to remove other types of bonds.