Mmmmm Sounds like the problem we have at the end of our garden. As per another answer, my husband bought an Apricot tree offline. This red resin appeared on that "gooed/dripped red honey" everywhere, and then eventually died. I really hoped it hadn't affected our 5 year old, fully nutting almond tree, but 2 years down the line, it looks as though that will have to go as well, as it is going the same way. Like you I couldn't find out what it was. BUT I now think it may be a form of canker. Advise reads "cut it out, paint on an anti canker paint, and put something around the lower` trunk every winter2, but can't remember what. Sorry. Me I am just going to cut down, clear bark from under the tree, and totally redo the whole area for safety. So many trees,so little garden and time to grow them in!