Leon took the Impermanence Card, and it was foreseeable that he would inevitably encounter many enemies because of the deck in the future.
Those enemies might want to collect the Impermanence Card, or perhaps destroy it altogether. Either way, Leon wasn't going to give up the cards easily. In the end, a fight was almost certain.
Tassera didn't take the Impermanence Card, but she did draw a card. Her luck wasn't great; at one point, she drew the Flame Card, which instantly attracted the hatred of a powerful devil.
Even so, neither of them cared too much. After all, as dragons who've survived to this point, who hasn't faced a few opponents or made a few enemies? One more or one less wouldn't matter, especially when Dragon Slayers were lurking even if they did nothing at all.
They entered the Underground City in the morning, but by the time they emerged, it was already evening.