I have a LaCie eSATA / USB 2in1 Expresscard on my Macbook Pro 17', and upon upgrading to Maverick's it no longer works. There was a message I receeived after upgrading to Mavericks that said something about this device is not suported and is disabled. This card uses the Silicon Image sil3132 driver.
Have not found any solutions as of yet (no new drivers are available anywhere as far as I can tell), so I can't use some of my external HD's over eSATA.
So, Maybe I found some solutions for my ExpressCards (JMicron 363)that was not working after installed Mavericks.
I read many days in foruns trying to reconnect my eSata HDD and in the end I did the following:
1)Install using the Multibeast software the drivers 3rd Party esata and 3rd Party sata.
2)Reboot the system
3)Go to your Mavericks /System/Lybrary/Extensions and delete the kext IOPCIFamily.kext
4)From a installed copy of Mountain Lion go to the same folder /System/Lybrary/Extensions and copy the same file (IOPCIFamily.kext) to a pen drive or other place.
5) download the Kext Wizard software and open it.
6) Go to the tab instalation and drag the kext copied form Mountain Lion inside the white box in the window software.
7) Install the kext.
8) Go to the Maintenance tab and select System/Library/Extension (Repair Permitions and Rebuild Cache) and Execute.
9) Reboot the system and conect the eSata HDD.
You have your esata working again.
(I didn´t test everything yet but at least they are mounted in Mavericks and I have my esata working.
Hope that don´t cause other problems.)