A method for fabricating a composite material assembly includes: a) providing an assembly system, b) laying down a first module on a first mold, the first module comprising a first laminate covering a first laminate support structure, c) laying down a second module on a second mold, the second module comprising a second laminate covering a second laminate support structure and extending over the at least one removable insert, d) removing the at least one removable insert from the second mold, and e) assembling the first mold with the second mold while overlapping a section of the second laminate extending over the at least one removable insert over the first laminate.