The epiklesis is the supplication of the Holy Spirit to mystically change (i.e. transubstantiate in the western terminology) the bread and wine. My understanding is that the traditional Latin Mass does not call on the HS specifically, but that there are additional prayers that do.
It is also my understanding (from having heard post-vatican II Masses) that the so-called NO Mass does have epiklesis.
There's this prayer during the Offertory of the Traditional Latin Mass.
Standing erect, he [the priest] extends, and then joins his hands, lifts his eyes up to heaven, and immediately lowers them, saying
Veni, Santificator omnipotens aeterne Deus, et bene+dic hoc sacrificium, tuo sancto nomini praeparatum.
Come O Sanctifier, almighty and eternal God, and bless + this sacrifice prepared for Thy holy Name.