Growing xenophobia and rightwing extremism could threaten peace in eastern Germany.
EU president Donald Tusk defended the use of barbed-wire fences against migrants.
The German government condemned dozens of coordinated sexual assaults against women on New Year's Eve in Cologne blamed on Arab men.
Hungary accused Austria of confusing 'solidarity and stupidity' after Vienna said that nations which do not accept refugees under European Union quotas should face sanctions.
The European Union and Turkey agreed on a deal to stem the migrant crisis, including a three-billion-euro ($3.2-billion) aid package for Syrian refugees in Turkey.
Eurogroup chief Jeroen Dijsselbloem warned that a small group of EU countries may be forced to form a "mini-Schengen" if the bloc fails to resolve its migrant crisis.
Europe's leaders will offer Africa up to 3.6 billion euros ($3.8 billion) in aid at a summit in Malta in exchange for help tackling the migration crisis rocking Europe.
EU president Donald Tusk urged Turkey to show its readiness to work with Brussels on issues such as the migrant crisis following a stunning election win by the party of President Recep Tayyip Erdogan.
The European Union risks disintegrating if it fails to respond to its worst migration crisis since World War II collectively.
The bodies of at least 43 people thought to be migrants washed up on Libyan beaches east of the capital Tripoli at the weekend.
Pope Francis called on every Catholic parish in Europe to take in a refugee family, saying the Vatican's two parishes would lead by example.
Turkish Prime Minister Ahmed Davutoglu criticised the "ridiculously small" share of refugees the EU is accepting, labelling the continent the "Christian fortress Europe."
Europe is facing an "unprecedented humanitarian and political crisis" as it struggles with the huge influx of refugees and migrants, the European Commission's vice-president Frans Timmermans said.
The EU is preparing to step up action against people smugglers in the Mediterranean, actively seizing the boats which carry thousands of hapless migrants to Europe.
Republican White House hopeful Jeb Bush accused Asians of abusing rules allowing infants born in the United States to be American citizens.
The French and German leaders will meet in Berlin on Monday to give a new push to European efforts to tackle the biggest migrant crisis in 50 years.
Germany expects to receive up to 800,000 asylum-seekers in 2015, a new record, Interior Minister Thomas de Maiziere said.
EU border agency Frontex reported a record 107,500 migrants at the European Union's borders last month, as the 28-member bloc struggles to cope with a refugee crisis
More than 1,000 migrants were rescued trying to cross the Mediterranean over the weekend, Italy's coastguard said, with further tragedies narrowly averted.
Lithuania said it has decided to resettle up to 250 Syrian refugees, migrants and asylum seekers transferred from Italy and Greece.