The 31-year-old joined the Spanish club from Fenerbahce when the transfer window opened at the start of this month, having agreed terms on a move at the end of May.
He turned down big-money offers from elsewhere in favour of joining the Europa League champions as he seeks to add to his trophy haul at the top level in Europe.
The midfielder won that competition's predecessor, the UEFA Cup, in 2000 as part of an extensive haul with Galatasaray.
Having also won the Coppa Italia with Inter Milan in 2005 and a total of five Super Lig titles and three Turkish cups, he is hungry for more.
"I had other options in China and Russia, but I wanted to play three more years at the highest level," he told AS.
"I was looking for a great club with good players. Also, here I have my 'brother' Arda.
"It's exciting. He told me what it is like and we are eager to begin. We are elated.
"We have to give everything for this shirt and make everyone in Turkey proud."
As well as Arda, whose 12million euro (£9.5m) switch to the Vicente Calderon was the most expensive in Turkish football history, the opportunity to provide chances for the prolific Falcao is another big draw for Emre.
"Obviously," he said, when asked if he was looking forward to playing alongside the Colombia hitman.
"But Atletico is not just about him or Arda, there is also Adrian (Lopez), Gabi...
"I have known Atletico since I was 10. I saw a lot of football and I was struck by the team with the colours of Turkey on their shirt. Gradually I learned they were an important team in Spain."
Emre feels he shares a mentality with Atletico coach Diego Simeone and recalled his on-field encounters with the former Argentina international.
"I played against him and he does not like losing," he said. "I'm the same. When I lose I'm unbearable. I leave home and do not talk to anyone.
"He is as I remembered. Simeone, it seems, never left the field, he continues to give the same impression."