Soldado seeks away improvement
In a close encounter with few clear-cut chances, it took a moment of brilliance from Spain international Soldado to open the scoring, before Haedo Valdez sealed the win in injury time.
And while Soldado spoke of his delight at beating a direct rival in La Liga, he is also optimistic Valencia's performances away from Mestalla will improve following a spirited display against the previously unbeaten visitors.
"I wish we knew what the key to victory is but we have to find the same motivation we have at home in away games," he said.
"We can't afford to drop more points.
"We showed great confidence; it was a tough and very important match. My goal was more important than it was beautiful, for sure.
"Today was the day for us; we had to perform against a direct rival who were quite far ahead of us in the table."
Valencia went down 1-0 away to Real Betis in their previous league fixture, and Soldado was relieved his team were able to produce against one of the early front-runners in 2012/13.
"We had some problems scoring in last week's game but we managed to do so this weekend," he said.
"I think we competed at a great level and have beaten a very confident rival, who were on an amazing winning streak."