The asylum claims within the EU have decreased after its peak in 2015. Due to the current political situation in Venezuela however, the number of asylum applications is slowly rising.
The European election campaign must not "paralyse" EU efforts to reform asylum rules which have split the bloc since the 2015 migration surge, commissioner Dimitris Avramopoulos says.
Merkel's two-day visit came four months after Greece emerged from its third and final bailout package.
Germany's interior minister is pressing ahead with controversial plans to hold asylum seekers in centres until their right to stay is determined.
The EU proposes financial incentives to member countries to admit migrants from Mediterranean rescue boats as part of efforts to defuse a weeks-long showdown with Italy.
German Chancellor Angela Merkel comes under fire from EU partners after she agrees to push back migrants in a last-ditch deal to save her fragile government.