I don't remember correctly but are there terms from Lannisters in exchange for bending the knee by Robb and North besides freeing Jaime?
This is Rob's motivation for his terms:
“More bloodshed will not bring your father back to us, or Lord Rickard’s sons,” Catelyn said. “An offer had to be made—though a wiser man might have offered sweeter terms.”
“Any sweeter and I would have gagged.” Her son’s beard had grown in redder than his auburn hair. Robb seemed to think it made him look fierce, royal . . . older. But bearded or no, he was still a youth of fifteen, and wanted vengeance no less than Rickard Karstark. It had been no easy thing to convince him to make even this offer, poor as it was. (ACOK, Catelyn I)
They are bold but they are genuine.
This is Tyrion's motivation in treating with Robb Stark:
It seemed to him that Robb Stark had given them a golden chance. Let the boy wait at Riverrun dreaming of an easy peace. Tyrion would reply with terms of his own, giving the King in the North just enough of what he wanted to keep him hopeful. Let Ser Cleos wear out his bony Frey rump riding to and fro with offers and counters. All the while, their cousin Ser Stafford would be training and arming the new host he'd raised at Casterly Rock. Once he was ready, he and Lord Tywin could smash the Tullys and Starks between them. (ACOK, Tyrion V)
It's all to buy time. He means none of this. It is intended to be rejected. These are the terms:
"Here are our terms," said Tyrion. "Robb Stark must lay down his sword, swear fealty, and return to Winterfell. He must free my brother unharmed, and place his host under Jaime's command, to march against the rebels Renly and Stannis Baratheon. Each of Stark's bannermen must send us a son as hostage. A daughter will suffice where there is no son. They shall be treated gently and given high places here at court, so long as their fathers commit no new treasons."
Cleos Frey looked ill. "My lord Hand," he said, "Lord Stark will never consent to these terms."
We never expected he would, Cleos. “Tell him that we have raised another great host at Casterly Rock, that soon it will march on him from the west while my lord father advances from the east. Tell him that he stands alone, without hope of allies. Stannis and Renly Baratheon war against each other, and the Prince of Dorne has consented to wed his son Trystane to the Princess Myrcella.” Murmurs of delight and consternation alike arose from the gallery and the back of the hall.
“As to this of my cousins,” Tyrion went on, “we offer Harrion Karstark and Ser Wylis Manderly for Willem Lannister, and Lord Cerwyn and Ser Donnel Locke for your brother Tion. Tell Stark that two Lannisters are worth four northmen in any season.” He waited for the laughter to die. “His father’s bones he shall have, as a gesture of Joffrey’s good faith.”
“Lord Stark asked for his sisters and his father’s sword as well,” Ser Cleos reminded him.
Ser Ilyn Payne stood mute, the hilt of Eddard Stark’s greatsword rising over one shoulder. “Ice,” said Tyrion. “He’ll have that when he makes his peace with us, not before.”
“As you say. And his sisters?”
Tyrion glanced toward Sansa, and felt a stab of pity as he said, “Until such time as he frees my brother Jaime, unharmed, they shall remain here as hostages. How well they are treated depends on him.” And if the gods are good, Bywater will find Arya alive, before Robb learns she’s gone missing. (ACOK, Tyrion VI)
Alongside that, he sends the secret agents supposed to free Jaime, utterly not caring that he is easily risking his own cousin's life, since he doesn't warn Cleos that he's breaking the rules of the peace banner.
Nothing about these negotiations is done in good faith by Tyrion, and the Starks are ultimately lucky that they got Ned's bones out of this farce. Which is actually a very fitting image. Few of the lives supposed to be saved in this negotiation are saved.
Countless smallfolk die. Cleos, Willem and Tion die. Donnel Locke and Lord Cerwyn die. Ice is unmade.
The bones of the dead is all they get.








