Catalyzes the conjugation of the 1'-hydroxyl group of D-myo-inositol-3-phosphate (also named L-myo-inositol-1-phosphate) with a lipid tail of cytidine diphosphate diacylglycerol (CDP-DAG), forming phosphatidylinositol phosphate (PIP) and CMP. PIP is a precursor of phosphatidylinositol (PI) which is an essential lipid required for cell wall formation. 1D-myo-inositol 3-phosphate + a CDP-1,2-diacyl-sn-glycerol = a 1,2-diacyl-sn-glycero-3-phospho-(1D-myo-inositol-3-phosphate) + CMP + H(+) 1,2-di-(9Z-octadecenoyl)-sn-glycero-3-cytidine-5'-diphosphate + 1D-myo-inositol 3-phosphate = 1,2-di-(9Z-octadecenoyl)-sn-glycero-3-phospho-(1D-myo-inositol-3-phosphate) + CMP + H(+) Contains a di-nuclear catalytic Mg(2+) center. Phospholipid metabolism; phosphatidylinositol phosphate biosynthesis. Homodimer. Belongs to the CDP-alcohol phosphatidyltransferase class-I family.