We analyze how a change in ECB monetary policy affects lending of internationally active banks, depending on whether the currency of the claim is the one of the counterparty country, using Spanish individual bank data. We analyse the transmission from an outward perspective, exploring how banks adjust their foreign lending denominated in local and in foreign currency to changes in monetary policy, both cross-border and also through their affiliates located in other countries. We find that non-bank private claims in local currency respond much less to the ECB monetary policy stance than claims in foreign currency. We also find that the spillover effects on cross-border lending denominated in foreign currency depend on banks’ characteristics. When we broaden the analysis to include claims to the public and the financial sector, the transmission of monetary policy is mainly through foreign currency loans, but bank heterogeneity plays a role in the transmission to local currency loans. In general, a tightening of the ECB monetary policy results in an increase in lending abroad. Exchange rate changes only affect foreign currency-denominated lending.