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"We were close. We were close. But in the end we could not reach it," Guardiola told BT Sport after the prize slipped through his fingers again.
The clash, which is being billed by many as a title decider, could well set the tone as we move forward from here.
Silva, who usually operates as an attacking midfielder, featured in a deeper role with Rodri and played a vital part in City's victory at Stamford Bridge as they moved up to second.
Manchester City manager Pep Guardiola said he plans to see out his contract with City but could go into international management after that.
"The next step will be a national team, if there is a possibility," Guardiola was quoted by Spanish daily Marca.