In 1981 the Congregation for Divine Worship addressed this question in its official journal Notitiae. In an official interpretation of no. 101 in the General Instruction of the Roman Missal (GIRM) it responded as follows:
Query:
At the presentation of gifts at a Mass with congregation, persons (lay or religious) bring to the altar the bread and wine which are to be consecrated. These gifts are received by the priest celebrant. All those participating in the Mass accompany this group procession in which the gifts are brought forward. They then stand around the altar until communion time. Is this procedure in conformity with the spirit of the law and of the Roman Missal?
Reply:
Assuredly, the Eucharistic celebration is the act of the entire community, carried out by all the members of the liturgical assembly. Nevertheless, everyone must have and also must observe his or her own place and proper role: “In liturgical celebrations each one, minister or layperson, who has an office to perform, should do all of, but only, those parts which pertain to that office by the nature of the rite and the principles of liturgy.” (SC art. 29). During the liturgy of the eucharist, only the presiding celebrant remains at the altar. The assembly of the faithful take their place in the Church outside the “presbyterium,” which is reserved for the celebrant or concelebrants and altar ministers. [Notitiae 17 (1981) 61]