Without looking into their website http://www.aerolineas.com.ar
They're new European routes are LHR, CDG, MXP in addition to MAD, perhaps FRA?
Most relatives flying to Argentina for holidays will fly a European airline though.
EDIT: Just got this from their website: Paris, Zurich, Frankfurt, Amsterdam are old routes which have been re-introduced. The addition seems strange given AR's financial problems.
Londres, LHR, London Heathrow Airport
París, CDG, Charles de Gaulle
Madrid, MAD, Barajas
Roma, FCO, Leonardo Da Vinci - Aeroporto Di Fiumicino
Milan, MXP, Malpensa.
Zurich, ZRH, Zurich International Airport
Frankfurt, FRA, Frankfurt International Airport
Amsterdam, AMS, Schiphol