Porto secured their place in the Champions League last 16 after finally breaking down resilient Apoel.
Falcao scored the winner six minutes from time to reward the visitors’ dominance in Nicosia after they had been frustrated time and again.
That left Jesualdo Ferreira’s side on nine points, seven clear of Atletico Madrid and eight clear of Apoel with two games remaining, to ensure their progress along with group leaders Chelsea.