The government of Argentina issue bonds to raise cash on the international markets. When it default those bonds continued to trade with the same right as pre default. The fact that investors took the risk of buying those bonds for pennies on the dollar does change the fact that are an obligation of the government, backed by the full faith and credit of the government. They need to be paid!
Yes, Argentina must make full payment on the bonds picked up after their last default in 2001. Everyone who borrows money, for any purpose, must repay their loan. No organization, person, or entity should be allowed to avoid repaying any type of loan or bond, no matter their position or ranking.
I think a more valid question is, can Argentina make full payment on the bonds picked up after their last default in 2001?" I doubt it. Do we really have to kick Argentina when it's down? I don't think they are capable of paying it although undoubtledly they are legally obliged to do so.
No, the entire world is in debt to each other what makes Argentina any different? Should financial responsibility be important absolutely, but demanding a full payment will not solve the problem.. Bring in some experts to educate the country and really get down to the issue. It's kind of like handing out without teaching someone how to provide for themselves.