No drains in the floor, no. What you have to do is figure out the point of entry.
Couple of possibilities.
Here's one TSB on water leaks:
DATE: September, 2004
MODEL: See below
BLOWER MOTOR HOUSING FILTER
This TSB supercedes TSB-03-55-008REV, to update the affected
vehicles and warranty information. New information is indicated by a
shaded triangle or an arrow.
Debris (such as leaves, etc.) entering the front cowl area may clog
the evaporator housing drain tube. If this occurs, the evaporator
housing may fill up with condensation and overflow into the passenger
compartment, and into the blower motor through the cooling tube. To
eliminate this condition, clean the debris from the tube and the case,
then install a blower motor housing filter as described in this
On Lancer models produced before 9/25/02, also install special wiper
pivot caps onto the wiper pivot shafts as described in TSB-03-51-001.
--> Refer to TSB-04-55-007 for Endeavor and 2004 Galant repair procedures for HVAC drain blockage.
2000-2004 Eclipse, Eclipse Spyder
b. Install the filter with the arrow pointing up
||Confirm proper blower motor operation.
||Clean debris from the evaporator housing drain tube and evaporator case.
||On Eclipse, Eclipse Spyder and 1999-2003 Galant models only: Refer to TSB-01-55-002 for filter installation procedures.
||Remove the glove box lid.
||Install a blower motor housing filter (listed in the PARTS INFORMATION section of this bulletin) a follows:
||Use a knife to cut a section from the top of the blower motor housing|
(all parts available from Mitsubishi, filter part # MR500360)
Here's another possibility you can show to your Mitsu dealer:
DATE: July, 2002
MODEL: 2000-03 Eclipse
DOOR WINDOW ALIGNMENT
This bulletin supersedes TSB-02-42A-008. Revised information is indicated by -->.
On some affected vehicles, the door window glass may be out of alignment (too high), causing increased door closing effort, wind noise, and possible water leakage.
This bulletin describes how to add a special washer to the door window upstops to prevent this condition.