Living in another culture needs a period of adjustment. I think your sentence " how can I my life there more similar to the one I had in Europe?" isn't a good starting point. You won't, Argentina is in Latin America and far from everything. In spite of it, I found some similarities between Argentine and Hungary.
As an Argentinian living abroad for many years the process of adapting to a new environment was what I found more interesting of the expat experience. Are you flexible enough? Are you stress tolerant? How well do you speak Spanish? Most people won't be able to communicate in another language. Argentinians are curious and personal boundaries (physical and others) are different to those you're use to.
As it happens in most part of the world, Argentinians also find their country a good place to live and dislike when foreigners criticise their country (although they are the first ones in criticising theirs).
Whenever I go to BA I find lots of things irritating: long queues everywhere, inefficient management of time, lack of environmental concerns, lots of empty discussions. I still like and enjoy my country over many others places I have visited or lived including Europe and North America.
My European kids are living in Argentina for three months now for the first time and they really enjoy it: you don't need to go far to join cultural activities or sport. Besides I'm glad I can sponsor their time there right now as it is very affordable when your income is in a foreign currency.
Finally, I would like to say that living abroad is a trip to your inner self, you will understand more about yourself and your country when you are out of your comfort zone.