Are there nonstop flights from Kalamata (KLX) to Tel Aviv (TLV)?

Yes. Arkia fly this route. Flight time is about 2h 2m.

What is the fastest connection from Kalamata (KLX) to Tel Aviv (TLV)?

via Heraklion ≈ 2h 33m, via Athens ≈ 2h 38m, via Thessaloniki ≈ 3h 9m (estimated flying time, excluding layovers).

from 30,000 ANA miles (economy, one way, based on the published award charts).

Kalamata Airport (KLX) to Ben Gurion International Airport (TLV)・1,304 km

Nonstop flights available (1 airline). Flight time about 2h 2m. Nonstop return flights also operate.

With milesANA 30,000 miles+ (via HER)Economy, one way, estimate. Tap a connection for miles by cabin.

4 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.