Saw this artifact portraying a "lion hunt" and was under the impression that lions were not commonplace in greece. Did they travel to hunt for business/pleasure? Or did they employ the roman tradition of bringing exotic animals to make sport of it?
I'm afraid I can't give an answer related to the Mycenaean period, but you may be interested in this older thread about lions in Classical-era Greece.
Yes, that's about 800 years later than what you're asking about, but lions and lion-hunting were still around in Thrace at that time; naturally they would have been there in the earlier period. I don't have archaeological evidence on the distribution of lions in the 13th century BCE, but it's natural to suppose that they may have been more widespread prior to the population explosion that began in the 8th century. Edit: Lions are also prominent in 7th century Greek art and poetic imagery, which tends to support the thesis that they had previously been more widespread.