Recent results on CP and CPT tests at KLOE/KLOE-2

Neutral kaon pairs produced in ϕ decays offer a unique possibility to perform fundamental tests of discrete symmetries. Among the most recent results obtained by the KLOE experiment at DAΦNE, the Frascati ϕ-factory, there is the new best limit on the branching ratio of the CP-violating decay KS→3π0, BR<2.6×10−8 at 90% C.L.. The search for possible violations of the CPT symmetry and Lorentz invariance in the context of the Standard-Model Extension (SME) is also described; the new analysis approach fully exploits quantum interferometry in ϕ→KSKL→π+π−, π+π− decays. Finally the status and perspectives of the new data taking campaign with the KLOE-2 experiment at the upgraded DAΦNE machine are briefly reviewed.