The pratice of using expansive agents has been recommended to manufacture shrinkage compensating concrete provided that an adequate wet curing is carried out. On the other hand, shrinkage-reducing admixture (SRA), based on the use of poly-glycol products in the concrete mixes, has been more recently suggested to reduce the risk of cracking in concrete structures caused by drying shrinkage. The mechanism of this admixture is based on a physical change (reduction of the surface tension of the mixing water) rather than on a reduction of water evaporation. This technology can reduce the drying shrinkage but it is not able to completely remove it. In the present paper some innovative experimental tests will be described on the combined use of CaO-based expansive agents and SRA. This combination surprisingly allow to manufacture shrinkage-compensating concretes even in the absence of any early water curing. This technology appears to be very interesting in producing selfcuring and self-compressing concretes with the reinforcing bars under tensile stress and the cementitious material under compressive stress. This technique has been combined with that of the self-compacting concrete in order to manufacture a very innovative concrete which is “3 times self”: self-compacting, self-curing and self-compressing concrete. The type of CaO-based expansive agent has been adapted in order to produce an effective expansion mainly after the cement hardening process is started, so that the expansion loss which occurs in concrete in the fresh or plastic state is reduced and the useful expansion in the hardened state is advantageously increased.