This is not the story of an ageing South American player looking for a last pay day. Colazo is 26.
It is also not the story of an unknown looking for an Australian adventure - Colazo has played over 100 games for Boca Juniors, one of Buenos Aires's 'big two'.
It has been an up and down ride with Boca from his debut in 2009 to a handful of games played this year.
Included in the middle of all of that were a few months on loan with All Boys, a much smaller local side, when he was recovering from serious injury.
But there have been moments – notably in 2011 and 2014-2015, when Colazo was an important player for Boca, either off the bench or in the starting line-up, where he won titles and featured in two positions – left midfield and left back.
What Colazo offers is a sweet left foot, capable of superb whipped crosses and set pieces.
It is little more than a year and a half since his wonderfully struck shot won a play-off against Velez Sarsfield and qualified Boca for the 2015 Copa Libertadores.
So why is he available?
Colazo appears to have fallen from favour, perhaps because he is not blessed with extreme pace.
Boca have brought in a couple of dynamic attacking left backs – Jonathan Silva and the Colombian international Frank Fabra - and Coloazo has been declared surplus to current requirements.
That should be good news for Melbourne City’s star strikers, who can now count on a skilled supply line from the left flank.