Composer and arranger Nelson Riddle's 'Lisbon Antigua' ( Old Lisbon) was a Billboard topping hit in 1956. This popular tune was originally a portugese song that featured in the 1956 crime film called , you guessed it, 'Lisbon'.
Although it is not directly linked to a TV theme, I found influences of this tune in Nelson Riddle's TV scores. The closest I could hear this tune was in the fantastic arrangement for the 1960s TV series 'Naked City' which you can hear here. I listened to Lisbon Antigua and the Naked city tune side by side and could spot the similarities.The Naked City theme tune can be heard here: