Government officials said Zapatero was expected to receive the country's Muslim leaders at his Moncloa office and residency, hours after his meeting with Russian President Vladimir Putin, with whom he also was expected to discuss the caricatures.
Spanish Foreign Minister Miguel Angel Moratinos on Tuesday urged dialogue as the best way to reduce tension.
Protests, sometimes violent against foreign diplomatic missions, have swept the Muslim world since the drawings were published first in Denmark.
Depiction of the Prophet Muhammad are forbidden under Islamic law, reports the AP.
The United States does not recognize the entry of Ukrainian territories into Russia. Such a development will seriously complicate prospects for a diplomatic settlement