lay their heads together{v. phr.}, {informal} To plan or consider things together; discuss something as a group; talk it over. 
 They put their heads together and decided on a gift.
 They put their heads together and decided on a gift.  We laid our heads together and decided to have a picnic.
 We laid our heads together and decided to have a picnic.See: PUT THEIR HEADS TOGETHER. 
 [TahlilGaran] English Idioms Dictionary ▲