A supporter of Iranian President Hassan Rouhani, holds a local newspaper with a headline that reads, "historic call from a return flight," upon his arrival from the U.S. near the Mehrabad airport in Tehran, Iran, Saturday, Sept. Iranians from across the political spectrum hailed Saturday the historic phone conversation between President Barack Obama and Rouhani, reflecting wide support for an initiative that has the backing of both reformists and the country's conservative clerical leadership. Supporters of Iranian President Hassan Rouhani, wave Iranian flags, upon his arrival from the U.S. near the Mehrabad airport in Tehran, Iran, Saturday, Sept. A protester, left, approaches President Hassan Rouhani's car leaving Mehrabad airport after his arrival from the U.S. in Tehran, Iran, Saturday, Sept. Iranians from across the political spectrum hailed Saturday the historic phone conversation between President Barack Obama and his Iranian counterpart Rouhani, reflecting wide support for an initiative that has the backing of both reformists and the country's conservative clerical leadership. Several dozen protesters chanted "Death to America" and tried to block Rouhani's motorcade. (AP Photo/Ebrahim Noroozi) Iranian President Hassan Rouhani reviews the honor guard upon arrival from the U.S. at Mehrabad airport in Tehran, Iran, Saturday, Sept. Iranians from across the political spectrum hailed Saturday the historic phone conversation between President Barack Obama and his Iranian counterpart Hassan Rouhani, reflecting wide support for an initiative that has the backing of both reformists and the country's conservative clerical leadership. (AP Photo/Ebrahim Noroozi) TEHRAN, Iran (AP) - Smiling and waving flags, Iranians from across the political spectrum welcomed President Hassan Rouhani home Saturday with cheers for his historic phone conversation with his American counterpart. But pockets of anger over the new contact between the two enemy nations signaled challenges ahead. Hard-liners opposed to any improved contact with Washington made their objections clear as several dozen protesters chanting "Death to America" tried to block his motorcade in Tehran. The semiofficial Mehr news agency reported that at least one demonstrator hurled a shoe - a common gesture of contempt in the Middle East - in Rouhani's direction. "Dialogue with Satan is not 'hope and prudence,'" some chanted, using the Rouhani's campaign from the June presidential election. Rouhani supporters, meanwhile, greeted him with placards thanking him for seeking peace instead of confrontation. Friday's 15-minute phone call between Rouhani and President Barack Obama capped a week of drama revolving around Rouhani's participation in the annual U.N. meeting of world leaders. The Iranian leader now has the difficult mission of trying to unite the country behind his outreach to ease a three-decade-long estrangement with the U.S. and move toward a possible settlement to roll back sanctions imposed over Tehran's nuclear program. The effort appears to have the critical backing of Supreme Leader Ayatollah Ali Khamenei. Alaeddin Boroujerdi, who heads the foreign policy and national security committee in parliament, was quoted by Iranian media as saying that the call showed Iran's "might." But the hard-line rajanews.com news website said there was no justification for Rouhani to talk to the "Great Satan," its term for the United States, and that the conversation was "a strange and useless step." Rouhani has followed a policy of moderation and easing tensions with the outside world, a marked distance from the bombastic style of his predecessor Mahmoud Ahmadinejad. Also Saturday, the CNN website, blocked since unrest broke out in 2009 over Ahmadinejad's disputed election, was accessible Saturday in what could be a sign of gradual easing of Internet restrictions and outreach to the US. In the past, blocked websites have become available temporarily before being place again behind official firewalls. Iran's stock exchange reacted positively to news of the phone call, with the index improving by 687 points, to 46,400 on Saturday. "I hope that, after these talks, the economic problems of Iranians are eased," Yazdi said.