Iran and its military allies in Syria have entrenched themselves in wide areas of eastern, southern, and northern Syria and in several suburbs around the capital.
After an Israeli airstrike killed senior IRGC commander Sayyed Razi Mousavi, Iran International published names of who could be Israel's next targets.
The European Parliament last week called on the EU to list the IRGC as a terrorist entry.
"We believe we should already start working on the fifth [sanctions package] to list IRGC as a terrorist organization," said one EU diplomat.