But, as the pair's embrace on the Stamford Bridge turf showed, two of Africa's greatest players in history were not exactly the worst of enemies. And sadly, there was only ever going to be one outcome.
As Chelsea booked their place in the last eight of the competition after a 3-1 aggregate win over the Turkish side, Drogba proved nowhere near capable enough of keeping up with Eto'o.
Whether that was more to do with the 36-year-old being three years older than the current Blues forward, or more down to the fact that Eto'o was provided with a much higher standard of service, the outcome seemed an inevitability.
Eto'o set the tone with a goal just minutes into the encounter - and statistics from WhoScored.com prove just how much better the Cameroonian fared on the night.
As well as scoring the elusive opener, the 33-year-old made more passes than Drogba, took more shots and completed more dribbles.
The one area Drogba did excel in, however, was turnovers, with the Ivorian making seven of them compared to Eto's one.
But one man who should perhaps be more worried by the stats than Drogba is Fernando Torres. Though a direct comparison between Eto'o and Drogba is made unfair by the quality of those surrounding each striker on Tuesday night, there is nothing unfair in suggesting that 33-year-old Eto'o has booked his place in Chelsea's starting XI against Arsenal with his performance in Europe.
Although Torres only came on for a handful of minutes towards the end of the game, the Spaniard was presented with a great chance by a brilliant pass from Eden Hazard.
Typically, Torres made a great run - but fired straight at the goalkeeper with a tame effort.
Contrast that with Eto'o's sharp finish with his first real chance of the night - and the Cameroonian's overall performance - and Mourinho's decision about Sunday has virtually been made for him.