Based on e(+)e(-) collision data collected at center-of-mass energies from 2.000 to 3.080 GeV by the BESIII detector at the BEPCII collider, a partial wave analysis is performed for the process e(+)e(-) -> (KSKL0)-K-0 pi(0). The results allow the Born cross sections of the process e(+)e(-) -> (KSKL0)-K-0 pi(0), as well as its subprocesses e(+)e(-) -> K*(892)K-0(0) over bar and K-2*(1430)K-0(0) to be measured. The Born cross sections for e(+)e(-) -> (KSKL0)-K-0 pi(0) are consistent with previous measurements by BaBar, but with substantially improved precision. The Born cross section lineshape of the process e(+)e(- )-> K*(892)K-0(0) is consistent with a vector meson state around 2.2 GeV with a significance of 3.2 sigma. A Breit-Wigner fit determines its mass as M-Y = (2164.7 +/- 9.1 +/- 3.1) MeV/c(2) and its width as Gamma(Y) = (32.4 +/- 21.0 +/- 1.8) MeV.