The library of 27 new 1-(4-phenylpiperazin-1-yl)- or 1-(morpholin-4-yl)-(2,5-dioxopyrrolidin-1-yl)propanamides and (2,5-dioxopyrrolidin-1-yl)butanamides as potential new hybrid anticonvulsant agents was synthesized. These hybrid molecules join the chemical fragments of well-known antiepileptic drugs (AEDs) such as ethosuximide, levetiracetam, and lacosamide. Compounds 5, 10, 11, and 24 displayed the broad spectra of activity across the preclinical seizure models, namely, the maximal electroshock (MES) test, the subcutaneous pentylenetetrazole (scPTZ) test, and the six-hertz (6 Hz) model of pharmacoresistant limbic seizures. The highest protection was demonstrated by 11 (ED50 MES = 88.4 mg/kg, ED50 scPTZ = 59.9 mg/kg, ED50 6 Hz = 21.0 mg/kg). This molecule did not impair the motor coordination of animals in the chimney test even at high doses (TD50 > 1500 mg/kg), yielding superb protective indexes (PI MES > 16.97, PI PTZ > 25.04, PI 6 Hz > 71.43). As a result, 11 displayed distinctly better safety profile than clinically relevant AEDs ethosuximide, lacosamide, or valproic acid.