Former Alaska Gov. Sarah Palin (R) advised incoming Republican lawmakers to "extend a hand" to President Obama and Democrats, but refuse to bend on principles.

Palin, in an "opening letter" to GOP freshman posted on her Facebook page, sought to gird new elected Republicans on issues like health reform, taxes, spending, foreign policy, and beyond.

Republicans should look to work with the president and congressional Democrats, Palin said, but only on the GOP's terms.

"In all this, you should extend a hand to President Obama and Democrats in Congress," Palin wrote. "After this election, they may finally be prepared to work with Republicans on some of these issues for the good of the country. And if not, we will all be looking forward to 2012."

The potential 2012 presidential candidate's advice mirrors that of Republican leaders, who've talked tough when it comes to compromising on core agenda items, but welcomed Democratic support when it's available.

Palin made clear to the new Republican class -- a Tea Party-infused group of politicians for whom she might be seen as a figurehead -- that they had to now follow through on their vows to voters.

"Republicans campaigned on a promise to rein in out-of-control government spending and to repeal and replace the massive, burdensome, and unwanted health care law President Obama and the Democrat Congress passed earlier this year in defiance of the will of the majority of the American people," Palin wrote. "These are promises that you must keep."

The first priority, she said, is to "defund Obamacare." But Palin also advised the new lawmakers to be "deadly serious" about curing the deficit, and reining in entitlement spending. The former Alaska governor also pushed the GOP to extend expiring tax cuts and bolster border security, among other priorities.

On the national security side of the ledger, Palin said that congressional Republicans "need to say no to cutting the necessities in our defense budget" and should carefully examine the New START treaty Obama has submitted to curb the use of nuclear weapons.