Lufthansa has discounted several destinations around the world during a Business Class fare sale targeting departures from Italy and France (There may be other European countries involved, but I didn’t see it).
The most attractive pricing appears to be to Asia with most fares from France or Italy ranging between €1900 and €2200. Latin America is also attractively priced in the same price range and South America can be reached for about €2300 to €2500. USA and Canadian destinations begin at €2900 and work their way up from there.
It looks as though the fares are available for travel between now and October, but the lowest prices are to be found for departures and return flights taking place mid-week during this period. A six night stay is also part of the terms for this sale.