Tywin Lannister has the ancestral Valyrian steel greatsword of House Stark, Ice (held by the Lannisters since Eddard Stark's execution) melted down and re-forged into two smaller swords. While he watches the process, he tosses the sword's wolf pelt scabbard on the smith's fire, smiling as he watches it burn.

Who does tywin give the second sword to?

After the Red Wedding and defeat of House Stark, Tywin Lannister had it melted down into two smaller longswords, one gifted to his son, Jaime, the other to his grandson, Joffrey Baratheon. Oathkeeper, the first longsword made from Ice.

What sword did Tywin Lannister melt down?

Unfortunately, Ice isn't around anymore: After Ned's death, Tywin Lannister melted it down to make two smaller swords, Oathkeeper and Widow's Wail.