"Our door is still open," Ms Yingluck said in an interview with a small group of foreign journalists on Saturday.
She also ruled out a political comeback for her brother, former premier Thaksin Shinawatra, who has been the object of most of the protesters' anger.
"Right now, I don't think he wants to continue with politics. He would like to see fairness to everyone to make sure that we can work together and find a long-term solution for Thailand," she said.
"My family doesn't want to hold power for our family. Any option for the majority, for peace, to move Thailand forward as a democracy, we will take it.
"I can tell you right now, we do not want to be any obstruction to peace in this country. We want a solution for everyone."
The premier made the comments as protest leader Suthep Thaugsuban prepared his followers for what he said would be a final attempt on Monday to topple the Pheu Thai government.
Ms Yingluck said she did not want to cling to power. "We don't have any resistance about resigning or dissolving Parliament," she said.
Such steps, however, can occur only if all parties agree, and new elections are held, she added.
Mr Suthep has said that the premier's resignation would not be enough to end the crisis. He has also rejected any new election because he knows the opposition would likely be soundly defeated.
Ms Yingluck also said the contentious amnesty bill, which critics said was a blatant move to allow Thaksin to return to Thailand, was gone for good.
"We won't bring the amnesty bill back again," she said. "If we don't commit to what we say, then people will not accept us anymore."
However, the protesters' vague demands for the formation of a "people's council" in place of her government were unfeasible, she added.
"I don't know how we can meet the request of the protesters because it's not under the constitution, it's not under democracy," she said. "I don't know how we can move Thailand forward with this. It would not be accepted internationally."
She said the government had asked military leaders to sit in on recent talks between herself and Mr Suthep but their role was "just listening", not mediation, and the dialogue was not a negotiation.
Discussing the government's approach to the planned marches on Monday, she said: "We will do the best to protect Government House in a peaceful manner. Having said that, we will not swap the protection of Government House with the loss of blood."
Authorities on Saturday began rebuilding barricades around key state buildings ahead of Monday's marches.
After clashes last week, during which riot police used tear gas, water cannon and rubber bullets against stone-throwing demonstrators, the government ordered police to ease tensions by taking down barriers around key buildings including Government House.
"Police will erect barricades, especially around Government House and Parliament," said Paradorn Pattnatabut, chief of the National Security Council.
Although the protests are "losing momentum", he said thousands of police would still be deployed on Monday.
"I am confident that there will be no violent incidents on Monday," he said, expressing hope the five week standoff could still be resolved through negotiation.