::
If a country runs a current account deficit, it means that the country is importing more than it is exporting. There will then a surplus on the financial / capital account, increasing foreign claim on the country’s assets.
For example, a current account deficit could be financed by foreign multinational investment or asset purchases, so in your example, there will be a build-up of the developed market’s country assets held by the emerging market.
This is exemplified in real-life by countries such as the United States and United Kingdom, which both run current account deficits.