Fili listened to his brother's reason and case about their godmother, and she nearly jumped out of his skin when he heard glass shattering in the room next to them. He looked back at the company in the dining hall, and he was surprised that they didn't hear it. 

"Of course she did, Kili. Mum always did, ever since we were born", he agreed with her mother's decision to choose, but to feel Delva's distress through Kili, it was enough to try and resolve the conflict. However, he wasn't sure on what his uncle thought on the matter. "Alright. Um...", he paused, looking at Thorin in the dining hall, before looking back his baby brother. 

"Go back to her. I'll go talk to him", Fili walked off as soon as he said this. He had a lot of respect for Thorin Oakenshield, plus he was closer to him than Kili was. He hoped he would understand. Approaching his role model, he quickly composed himself. "Uncle. I know how much the mountain means to you, but there is a certain someone that Gandalf seems to want to assist us on this journey", he began to explain to Thorin, hoping he would understand.