Then they started on their way home. After they had gone a little way Grettir's garter broke. Thorkell told them to wait for him, but Grettir said it was not necessary. Then Bjorn said:
"There is no need to suppose that Grettir will run away from his cloak. He wants to have the honour of killing the beast all alone, and he will say that we eight men went away. Then he would appear to be what he is said to be. He has been backward enough all day.""I don't know how you stand in that matter," said Thorkell. "You and he are not equal in valour; do not make any to-do about him."Bjorn said that neither he nor Grettir should choose the words out of his mouth.
There was a hill between them and Grettir, who had turned back along the footpath. Now he had no others to reckon with in making the attack. He drew his sword Jokulsnaut and tied a loop round the handle which he passed over his wrist, because he thought that he could carry out his plans better if his hand were free. He went along the path. When the bear saw a man coming, he charged savagely, and struck at him with the paw that was on the side away from the precipice. Grettir aimed a blow at him with his sword and cut off his paw just above the claws. Then the creature tried to strike him with his sound paw, but to do so he had to drop on the stump, which was shorter than he expected, and over he fell into Grettir's embraces. Grettir seized the beast by the ears and held him off so that he could not bite. He always said that he considered this holding back the bear the greatest feat of strength that he ever performed. The beast struggled violently; the space was very narrow, and they both fell over the precipice. The bear being the heavier came down first on the beach; Grettir fell on the top of him, and the bear was badly mauled on the side that was down. Grettir got his sword, ran it into the heart of the bear and killed him. Then he went home, after fetching his cloak which was torn to pieces. He also took with him the bit of the paw which he had cut off.
Thorkell was sitting and drinking when Grettir entered. They all laughed at the ragged cloak which he was wearing. Then he laid the piece of the paw upon the table. Thorkell said: "Where is my kinsman Bjorn? I never saw iron bite like that in your hands.
Now I would like you to show Grettir some honour to make up for the shame which you cast upon him."Bjorn said that could wait, and that it mattered little to him whether Grettir was pleased or not. Grettir then spoke a verse:
"Oft returned the watcher at night trembling home, but sound in limb.
None ever saw me sit in the dusk at the cave; yet now I am home returned.""It is true," said Bjorn, "that you have fought well; and also true that our opinions differ. I suppose you think that your taunts hurt me."Thorkell said: "I should be glad, Grettir, if you would not revenge yourself upon Bjorn. I will pay the full weregild of a man for you to be reconciled."Bjorn said he might invest his money better than in paying for that; and that it would be better for him and Grettir to go on bickering since "each oak has that which it scrapes from the other." Thorkell said: "But I ask you, Grettir, to do so much for my sake as not to attack Bjorn while you are both with me.""That I promise," said Grettir.
Bjorn said that he would walk without fear of Grettir wherever they met. Grettir grinned, and would accept no money on account of Bjorn. They stayed there the winter.