Premier Li's meeting with van Rompuy and Barroso will be the last meeting with the current EU leaders. A new team is scheduled to take over in November - Donald Tusk as President of the European Council, Jean Claude Juncker as Commission President and Federica Mogherina as the High Representative for foreign and security policy. It will be a top priority to establish good contacts between China and the new EU leadership and proceed with the implementation of the 2020 Strategic Agenda. This vision document agreed earlier this year sets out areas in which Beijing and Brussels can work together in the next five years.
Next year will mark the 40th anniversary of EU-China relations and a host of events are planned to mark the occasion. These will include a special summit, several ministerial meetings, exhibitions, sporting and cultural events.
In the meantime negotiations continue for an important bilateral investment treaty. Premier Li is also keen on innovation, while the EU leaders will highlight the need for fair competition and the stability of financial markets.
The Milan dinner will also cover international issues, such as Iraq, Syria and Ukraine. Events in the Hong Kong Special Administrative Region might cast a shadow over the meeting, but it seems the situation has calmed now.
In Italy, Li will meet with Prime Minister Matteo Renzi who has made a name for himself as an energetic promoter of reform. But he now needs to follow up his rhetoric with deeds. The Italian economy remains weak and Renzi will be looking to China for a boost in investment. China has the capital to invest in European infrastructure. It is already buying into nuclear power in the UK and ports in Greece. It has also established a 16+1 framework to boost investment with Eastern Europe.
In Germany, Chancellor Angela Merkel remains the country's and Europe's dominant politician. As the paymaster of the EU, she has imposed austerity on most EU member states whether they like it or not. Li will be looking to maintain and boost the excellent bilateral relations between China and Germany. Li will also speak at an important business summit in Hamburg where the main theme is improving economic relations between the EU and China.
In between Germany and Italy Premier Li will visit Russia for talks with President Vladimir Putin and Prime Minister Dmitry Medvedev. Russia and the EU are at odds over Ukraine. Both will be seeking Li's support for their respective viewpoints.
In the absence of a second full EU-China summit this year because of the change in the EU's leadership, Li's dinner with van Rompuy and Barroso should provide a welcome boost to the bilateral relationship.
The author is director of the EU-Asia Centre.