According to Ha'aretz (sorry, the article is only in Hebrew), Arkia Israel Airlines (IZ) has filed a request to start scheduled services to Paris, France (doesn't say which airport). New Axis Airways (6V) just became the third carrier on this route, after Air France (AF) and El Al Israel Airlines (LY), starting two weekly flights with a Boeing 737 aircraft from Marseille Provence Airport (MRS) to Ben Gurion International Airport (TLV). They have plans to add two more weekly flights starting this summer. The introduction of Axis Airways was made possible by the new agreement between Israel and France allowing two designated carriers per country. Interestingly enough, Axis Airways is 20% owned by Arkia, so Arkia's investment group would be making more money off this agreement.
I assume that they are requesting to fly to Charles de Gaulle International Airport (CDG) since they currently have around 200 charter flights yearly to Charles de Gaulle.
Shaul Mofaz, the current Israeli Minister of Transportation, has announced that Arkia Israel Airlines (IZ) will indeed be the second Israeli airline allowed to fly scheduled service from Tel Aviv, Israel's Ben Gurion International Airport (TLV) to Paris, France.