Bloodstained Tales from Another World

Blurb:

For no reason at all, I transmigrated to a strange place, and for even less reason became a second-generation vampire. The only thing missing is for a dad to mysteriously appear, too.

Sold out by my master, I ended up in another world, wandering from country to country in search of my heart.

The male lead is scheming and the romance is slow-burn. If that's not your thing, read with caution.