If the spell that was ravaging outside in the form of the snowstorm was simply a spell that was supposed to counter Eiro, then it was clear what he had to do. This spell was created with the intention of making it impossible for Eiro to counter and stop it. That meant that there were two possible things Eiro could do in order to make sure that everything worked out.
One, he could ask another mage that specialized on counter-spells for help. He already asked Solomon about this, however, and as far as he was aware, there was no mage like that currently in the capital. He sent out a request at the adventurer's guild so that if there was someone like that they could come help, but they couldn't do much more beside that.