Do Romeo and Juliet's parents meet?
The Montagues and Capulets are known to one another before they play starts. During the play, they meet on two occasions. First, in Act I, scene i, they are both at the scene of the riot after it had occurred. They are chastised by the Prince and warned to prevent future fighting, on pain of death. When they first spot each other, however, both husbands look to take up weapons against the other.
The other time they meet is in the last scene of the play. They are at the tomb together, discovering the bodies of the children and finally understanding the situation. Again, they are chastised by the Prince, but this time they are grief-stricken and ashamed of what their feud has caused.
The Capulets and the Montagues have known each other for a long time, but specifically, I believe you are referring to after the deaths of Romeo and Juliet. The answer to that question is yes; they come together at the end of the play at the tomb where the ill-fated lovers are found.