MEPs will discuss the results of Monday's summit on the crisis and the draft treaty on fiscal union when they meet in plenary on Wednesday. Also on the Brussels plenary agenda, Iran's nuclear programme and the situation in Russia as well as so called stability bonds and the future of the Daphne programme to protect women and children from violence.
EP President Martin Schulz will have an exchange of views with EU leaders at the opening of the summit, ahead of which he will meet German Chancellor Angela Merkel.
When MEPs meet Wednesday and Thursday in plenary they will also discuss the application of waste management rules and a report on the European dimension in sport.
MEPs also meet in committee this week. On Tuesday, the Environment Committee will discuss strategies to achieve a low-carbon economy by 2050 and alternative methods to animal testing in cosmetics, while the Foreign Affairs Committee will consider an economic strategy for the Southern Mediterranean in the wake of the Arab Spring.
On Tuesday, the EP, Council and Commission will meet to try and strike a deal on rules to make trade in derivatives - widely believed to have exacerbated the financial crisis - more transparent and secure.
This week marks the 25th anniversary of the EU's popular student exchange programme Erasmus.