Hector Moreno (who Roma acquired for 6 million euros) scored the 2-2 goal in stoppage time as he beat Fonte and headed home from a corner-kick.
Despite being relatively quiet in the match, Ronaldo won the Man of the Match award, but he declined to attend the post-match press conference that usually accompanies the accolade.
"We need to keep believing in ourselves, we know we have a great chance". So we have to stay calm and think about the next game.
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As it stands, Russian Federation sits at the top of the group, followed by Portugal and Mexico while New Zealand, who were thumped by the hosts 2-0 on Saturday, are bottom.
Soares' goal had to be confirmed by video review but it eventually stood.
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But on Friday, he turned his wrath over the attacks on the United States and Saudi Arabia, Iran's fiercest rivals. A number of arrests were made after the deadly attack on the parliament and Mausoleum of Ayatollah Khomeini.
Hit the crossbar in the first half in the build-up to Portugal's disallowed goal.
'It was not the result we wanted, the team had nearly won and we suffered in the last minute, but this is football, ' he said. "We faced the European champions, a team that plays at a very high level, and we played equal to them". It was a good result at 2-1 but that's football.
Coach Fernando Santos and some of Ronaldo's teammates are confident the star forward won't be affected by the buzz created by a report that said he wants to leave the Spanish club because of allegations that he defrauded the country's tax authorities.
"It wasn't the result that we wanted", he said. "Mexico was better, more aggressive". "I have a pact with the players and we treat these personal matters away from the national team".
Ronaldo played well and made the first goal but did not score.
The Portugal captain could not control the ball to shoot but his brilliant pass between three defenders left Quaresma free to round keeper Guillermo Ochoa and tap into the empty net.