Rahm, a twice-major champion and former world No.1, was notably absent from the octet given permission to play in conflicting LIV tournaments this year while retaining their membership status.
The settlement required Rahm to pay outstanding fines of reportedly around $A4.7 million for playing LIV events without permission, withdraw all pending appeals and commit to playing stipulated European Tour tournaments.
But Rahm, whose fines would be paid by LIV, which has indemnified its players for fines picked up before the start of 2026, baulked at the conditions.
"I don't like what they're doing currently with the contract they're having us sign. I don't like the conditions," Rahm told reporters ahead of an LIV Golf event in Hong Kong.
"They're asking me to play a minimum of six events and they dictate where two of those have to be, amongst other things that I don't agree with."
Rahm revealed he also offered a compromise, telling tour officials he would sign immediately if they lowered the requirement to a minimum of four events.
"They haven't agreed to that. I just refuse to play six events. I don't want to and that's not what the rules say," he said.
Rahm, who agreed a multi-year deal to join LIV worth an estimated $A850 million, has appealed against the tour's fines with an independent panel hearing the case later this year. If he loses, and continues to refuse to pay, he would be ineligible to play in next year's Ryder Cup.
The 31-year-old, who has typically played four European Tour events annually including the Spanish Open, accused the tour of double-dealing.
"It just seems like in a way they're using our impact in tournaments and fining us and trying to benefit both ways from what we have to offer," Rahm said.
"In a way they're extorting players like myself and young players that have nothing to do with the politics of the game."
Reuters has contacted the European Tour for comment.
Rahm is suspended indefinitely from the PGA Tour, turning down the chance to return in January when former world No.1 Brooks Koepka made a costly comeback.
