Brazil, Uruguay, and Colombia also go through. Peru will play-off against New Zealand
Atletico forward Angel Correa wasted a glorious chance to open the scoring in the first derby at the Wanda Metropolitano stadium when he was through on goal in the third minute, while Toni Kroos missed Real's clearest opportunity.
The four-times world champions were held to a 0-0 draw at home by Sweden in the second leg of their European playoff on Monday, losing 1-0 on aggregate, and will miss the finals for the first time since 1958.
The teams played out a 0-0 draw in the first leg in Wellington on Saturday and although both sides had chances in a tense match in Lima, Peru were more clinical in front of goal.
India came back twice in the match to hold Myanmar and extend their unbeaten streak to 13 matches
'It's not a normal qualifier where, when the game is over, you can celebrate the three points. We're only halfway through this double-header,' midfielder Sebastian Larsson said
Italy coach Gian Piero Ventura wants Italy to qualify by 'playing football'
Italy manager Gian Piero Ventura insisted his side would still make it to the World Cup
Italy have lost the first leg of their play-off against Sweden 1-0
The last time Italy did not go to the World Cup was in 1958
“It feels great to be here,” Moyes said. “West Ham is a big club. Wherever you go they are known. I’ve been really fortunate in that I’ve managed some really great clubs, and I have been offered some other opportunities recently.