After presenting the motivations to explore the low-lying scalar mesons such as the sigma, a(0) and kappa in the unquenched as well as quenched lattice QCD, we review the works done by our collaboration (SCALAR Collaboration) with a what-to-do-next list. We briefly mention the imporatance to explore the N(c) dependence of and possible effects of the U(A)(1) anomaly to the properties the low-lying scalar mesons.