Seth speech was able to touch Arwen deeply. A few of his words were able to make her feel a comfort she wasn't able to, for all these years.
Unknowingly, she started to think that it would be better to die together with him, than living without him, just like what she felt for her daughter, but a bit different.
'Am I in love?'
Arwen looked at Seth and saw that he was anxiously waiting for her reply. She smiled after realizing how anxious he was, but for her, this choice had suddenly turned into something easy to make.
"I want it. Make a Soul Link with me."
Seth felt like huge boulder was lifted from his shoulders. He was finally able to relax. It would have been way easier to convince her doing a Soul Link, when their relationship had already been developed and their feelings were at their peak. However, Lexi kind of made him advance things way quicker than how they should have been.