The 7th Annual Conference on Theory and Applications of Models of Compu- tion was held during June 7-11, 2010 in Prague. After six successful conferences held in 2004-2009 in China (Beijing, Kunming, Beijing, Shanghai, Xi'an, and ChangSha) TAMC left Asia for the ?rst time, aiming at the "heart of Europe. " Changingthegeographicallocationdidnotbringanychangestothescopeofthe conference. Its three main themes continued to be Computability, Complexity, and Algorithms. The conference aims to bring together researchersfrom all over the world with interests in theoretical computer science, algorithmic mathem- ics,andapplicationsto thephysicalsciences. Thisyearwesawmoreparticipants from Europe and the Americas, but we were very happy that we could also w- come to Prague traditional participants from Asia (China, Japan, and India) to continue enhancing the collaboration among the theoretical computer science communities of these continents. After hard work the Program Committee decided to accept 35 papers out of 76 submitted to TAMC 2010. Each submission was reviewed by at least three, Program Committee members. All actions of the Program Committee were - ordinated via ?awlessly and e?ciently running EasyChair. We congratulate the authors of accepted contributions and thank all authors who submitted their papers. They all contributed to a successful event. We extend our thanks to the distinguished plenary speakers who accepted our invitation to deliver plenary talks - John Hopcroft from Cornell University and Shang-Hua Teng from University of Southern California. Their talks "New Research Directions in the Information Age" and "The Laplacian Paradigm: Emerging Algorithms for Massive Graph" were highlights of the conference.