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Cordoba is a must stop if you ever visit Sevilla. 
Although the old town of Cordoba resembles lots of similarity to Sevilla, the Mezquita is something special of its own. You can find a lot of Roman influence in this Mosque. 
Here is what I recommend as for your itinerary,  taking an early train from Sevilla to Cordoba, strolling through the old town and exploring the Mezquita, Walking across the Roman Bridge and capturing a nice shot of the bridge with the town in the background.  Make sure to enjoy your lunch in the old town and then catch the train back to Sevilla.  
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As for the afternoon, once you get back to Sevilla, go check out the Plaza de Espana, once a playground of the World Fair of 1929. The Plaza is magnificent which we ended up paying a second visit the next morning. 
I am wearing:
Top: Nordstrom (see similar here)
Skirt pants: Made by my grandpa for my mom (see similar here)
Sandals: Vince Camuto (see here)
Bag: Chloe (see here)
Earrings: Amazon (see similar here)

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