Did Sparta ever fight with Rome?

Sparta fought Rome under Nabis around 200 BC. This was long after Sparta's political and military power had faded since it's zenith (around 400 BC). Sparta had always relied heavily on their foot infantry in battle, and by 200 BC, Sparta's hoplites (fighting the in an old fashioned phalanx) had been surpassed in dominance by Rome's legionaries. Rome crushed Sparta and made it (with the other Greek cities) a protectorate of the Roman Empire.