Before completing his diplomatic tour with Merkel, the British leader is also due to meet Polish Prime Minister Ewa Kopacz on Friday.
As Cameron's first day touring the European capitals came to a close on Thursday, the British government has introduced legislation on the EU referendum with a second hearing scheduled for June 9. The issue has become a hotly-discussed topic with the rise of euroskeptic and anti-immigration sentiment.
Earlier media reports suggested that Hollande and Merkel had agreed on a pact to integrate the Eurozone without reopening EU treaties, sidestepping Cameron's demands to renegotiate the Lisbon Treaty, a document ensuring more freedom of movement by citizens among EU member states and more control from Brussels over asylum applications.