The calculated distance (air line) between Messíni and Palaió Fáliro is approximately 111 miles respectively 178 kilometers.
By car or train, the actual journey to Palaió Fáliro is certainly longer, as only the direct route (as the crow flies) between Messíni and Palaió Fáliro has been calculated here.
Air line (approximately)
178 kilometers
96 nautical miles