WASHINGTON - The case of Raymond Davis, an American working for CIA who is detained in Pakistan for fatally shooting two Pakistani men, raises questions about those working abroad under the so-called diplomatic immunity, while posing a growing quandary for Washington and Islamabad, experts say. Some members of Congress, Democrats and Republicans alike, are threatening to cut off funds to Pakistan if Raymond Allen Davis is kept much longer in a Pakistani jail, The Washington Post said Wednesday. At the same time, the newspaper said turning him over to the U.S. could unleash a torrent of anti-American sentiment across Pakistan, threatening to undercut that countrys fragile civilian government. With anti-government protests sweeping the Middle East, public restlessness and anger could ripple as far as Pakistan, probably making the timing less than ideal for a government in an Islamic country to make a public show of cooperation with the United States, it said in an article. The case has deeply strained relations between the two countries with no immediate solution in sight and reports saying Pakistani courts could prosecute him for murder. Pakistan protesters, already irate over the Central Intelligence Agencys drone missile program for killing militant suspects in their territory, want Davis hanged, The New York Times-International Herald Tribune reported. However, U.S. President Barack Obamas administration is firm on its legal standing that Davis enjoys full diplomatic immunity and hence Pakistan has no right to incarcerate or prosecute him, the report said. The most Islamabad can do is expel Davis, The Times said. U.S. officials say Davis was part of a covert, CIA-led team collecting intelligence on militant groups in Pakistan. While the principle of immunity is that diplomats are bound only by laws of their countries and not those where they are posted, the Times said the U.S. State Department created confusion through contradictory statements about whether Davis worked as a diplomatic official or a consular one. Consular officials have weaker legal protections as they are regarded as administrators and not diplomats and can face prosecution for grave crimes. The report said regardless of how it is resolved, the Davis issue is likely to be included in the list of notable disputes over diplomatic immunity.