Gil Grissom (William Petersen) doesn't share any lines or scenes with any of the Miami CSI team. This is because Petersen was very much against CSI spin-offs and asked the producers of CSI not to put him in any scenes with the CSI: Miami (2002) cast.
The CBS network and CSI producers decided to create the spin-off series CSI: Miami (2002) (and later CSI: NY (2004)) because they wanted to beat other potential CSI copycat shows to the punch.
The Miami-Dade Police Department's crime lab really is called Crime Scene Investigations (CSI), unlike Las Vegas where they are called Crime Scene Analysts (CSA's) & New York where they are called Crime Scene Unit (CSU) forensic technicians.
This episode is featured on both the CSI Complete Second Season and the CSI: Miami (2002) Complete First Season DVDs.