The Note's Must-Reads are a round-up of today's political headlines and stories from ABC News and the top U.S. newspapers. Posted Monday through Friday right here at www.abcnews.com

Compiled by ABC News' Carrie Halperin, Jayce Henderson, Will Cantine, and J.P. Lawrence

PRESIDENT OBAMA AND HIS ADMINISTRATION The Hill's Julian Pecquet: " White House cautious as Kerry resumes Mideast peace talks" The White House downplayed prospects for new Israeli-Palestinian peace talks that began Monday, arguing negotiators face months of hard work to get a deal. This week's face-to-face meetings in Washington between Justice Minister Tzipi Livni and Palestinian negotiator Saeb Erekat begin the first effort at restarting negotiations since talks faltered three years ago, during President Obama's first term. LINK

USA Today's Kelly Kennedy: " White House touts slow increase in health care costs" Personal health care costs rose in the 12 months ending in May at the slowest rate in the last 50 years, as spending on hospital and nursing home services declined, the White House announced Monday. Personal consumption spending rose 1.1%, Alan Krueger, chairman of the White House Council of Economic Advisers, said. Hospital readmissions rates dropped from an average of 19% to 17.9% for Medicare patients since the passage of the 2010 health care law, Krueger said. LINK

The New York Times' Jackie Calmes: " Obama Reassures Leaders On Enforcing Voting Rights Act" Days after his administration filed suit against Texas to protect minority voters, President Obama told civil rights leaders and local officials on Monday that the federal government would vigorously enforce voting rights in the country despite a Supreme Court ruling against a core section of a landmark 1965 law, several participants said after a White House meeting. LINK

AFGHANISTAN The Wall Street Journal's Nathan Hodge and Habib Khan Totakhil: " U.S. Funds Buy No Love at Afghan College" Nangarhar University is a symbol of American largess: U.S. taxpayers foot the bill for dormitories, classrooms and computer labs. Increasingly dominating the campus of Afghanistan's second largest university, however, are Islamist activists who openly sympathize with the Taliban. LINK

ANTHONY WEINER ABC News' Rick Klein and Jeff Zeleny: " Sources: Clintons' Patience Growing Thin with Anthony Weiner" Bill and Hillary Clinton increasingly see Anthony Weiner's mayoral campaign as an embarrassment and potential liability, and are signaling through associates that they are eager to see him exit the race, several former Clinton aides and advisers told ABC News. One Clinton associate said the Clintons are "bristling at the comparisons" between Weiner and Bill Clinton, and between Hillary Clinton and Weiner's wife, Huma Abedin. LINK

IMMIGRATION Bloomberg's Kathleen Hunter & Indira A.R. Lakshmanan: " McCain Calls on Immigration Advocates to Push U.S. House" Senator John McCain said business and religious groups need to press reluctant House Republicans next month to back a revision of U.S. immigration law, saying he was "not happy with the effort so far." "August will be an important month," McCain said yesterday. "If we can galvanize our broad coalition to make this the highest priority and that they start talking to their elected representatives, if we can do that, then I think you may see a favorable outcome." LINK

The Washington Times' Stephen Dinan: " Harry Reid stops Senate immigration bill at House border" The immigration bill passed the Senate more than a month ago but Senate Majority Leader Harry Reid is refusing to send the bill to the House - just one of the hurdles that has sapped momentum and dimmed the chances for an immigration deal this year. Since the Senate's 68-32 vote June 27, the bipartisan coalition that pushed the immigration bill has frayed. LINK

The Washington Post's Ed O'Keefe: " A Narrow Boarder-Security Agreement Could Pave The Way For Broad Immigration Reform" In mid-May, as most of Congress was consumed with the troubles at the Internal Revenue Service and the Senate was conducting closely watched hearings on a sprawling, contentious immigration reform bill, something remarkable happened in the House Homeland Security Committee. With little fanfare, the committee unanimously passed a border-security plan as part of its immigration reform effort. LINK

ABC NEWS VIDEO "President Obama, Hillary Clinton Dine at the White House" LINK "Anthony Weiner 'Recalculating' His Life, Campaign" LINK

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