Though there remains some mystery as to exactly who they were or how many, the Magi, or Magoi were probably priest-astrologers from Persia.   The visit fulfilled prophecies of the Old Testament. 
Matthew recorded that they brought three gifts: Gold, Frankincense and Myrrh.  These seem like strange gifts to bring a baby, but they have symbolic significance.
Gold is a gift for a king and recognizes Jesus as a King of heaven.
Frankincense was used by priests in religious ceremonies and so recognized Jesus as a priest.
The usual interpretation of the significance of myrrh is that it was used for embalming so recognized that Jesus would sacrifice himself for us.  I find that interpretation difficult to accept.  Would you bring the parents of a newborn embalming fluid as a gift?  I don't think so.  Since myrrh was also known for it's medicinal properties, I think it more likely the Magi intended it to represent that Jesus would be a great healer, particularly, a healer of the spirit.