More info. above, but here's CNN's take on the phone call:

It's a three-decade first: Presidents of U.S., Iran talk directly, if only by phone
By Chelsea J. Carter, CNN, updated 7:41 PM EDT, September 27, 2013
 

Hassan Rouhani's return to Iran marked by 'death to America' chants
Shoe thrown at president's motorcade, but hardliners outnumbered by supporters welcoming diplomacy with US
By Conal Urquhart and agencies, theguardian.com, 28 Sept. 2013

The Iranian president, Hassan Rouhani, was greeted by hardliners chanting "death to America" when he returned to Tehran following his historic telephone call with the US president, Barack Obama.

One protester threw a shoe at his car – a gesture of deep insult in Islamic countries. It missed, but others pelted his official car with eggs and stones, according to witness reports on Twitter.

About 100 hardline protesters were outnumbered by two to three times as many Rouhani supporters at the airport, shouting "thank you Rouhani". The president stood up through the sunroof to acknowledge the crowds [....]

Iranian media said hundreds of Rouhani supporters turned up to hail his UN visit, where he fulfilled pledges of having "constructive interaction" with the world in order to ease Iran's international isolation and get punitive sanctions lifted.

The semi-official Mehr news agency ran pictures of groups of protesters holding up a "death to America" placard and banging the sides of Rouhani's limousine as it began to depart the airport. Mehr said one protester threw one of his shoes at the car. [....]

Hassan Rouhani greeted with cheers and protests on return to Iran
Iranian president gets mixed reception on return home following UN trip and historic phonecall with US president
By Julian Borger, diplomatic editor, theguardian.com, 28 Sept. 2013

Hassan Rouhani returned to Tehran from New York on Saturday after his historic phonecall with Barack Obama to a mixture of cheers from supporters and protests from hardliners who threw eggs and shoes at his car.

The reception greeting the Iranian president at Tehran airport reflected the precarious tightrope he will have to walk to do a deal with the west. Ultra-conservative protesters chanted: "Death to America" and hurled invective and missiles at Rouhani's car. But his supporters outnumbered his opponents – estimated about 50-strong – and more importantly, the supreme leader, Ayatollah Ali Khamenei, sent his closest foreign policy adviser to greet Rouhani.

The presence of Ali Akbar Velayati gave weight to Rouhani's insistence that he had the highest authority to pursue his diplomatic initiative at the UN general assembly, which culminated in a groundbreaking 15-minute phone conversation with Obama on Friday, conducted on a mobile phone while Rouhani was on the way to John F Kennedy airport.

Iranian state television did not broadcast the hardliner protests at the airport, and the state news agency, Irna, instead played up the fact that the US had presented Rouhani with a 2,700 year-old Persian silver drinking vessel, shaped like a gryphon. It had been seized from an art dealer who had smuggled it out of Iran in 2003 and the state department had been waiting for a thaw in relations in order to return it.

The majority of the official and semi-official Iranian press reports on Rouhani's trip have been supportive or neutral. Even Qassem Suleimani, the head of the Revolutionary Guards' external operations wing, the Quds Force, a powerful figure in the security apparatus, had positive things to say about the visit. Suleimani acknowledged the respect the world had shown to Rouhani, attributing it to the "resistance and endurance" of the nation.

However, the delicate nature of Rouhani's position was also evident in the careful managing of the coverage of the New York trip [....]