Which brand of 1000cc saline implant can be filled to 2000 ccs?

None of the FDA approved devices (in the US) exceed 800 cc. It is true that saline devices can be overfilled slightly. That being said, double the fill is unusual and is not recommend. Additionally, overfilling to this degree is likely to distort the implants dimensions.As always, discuss your concerns with a board certified plastic surgeon (ABPS).Donovan Rosas MD
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I'm not aware of any implants that you can fill to 2000cc, however, I do not use saline implants at my clinic. 

The implant with the largest overfill capacity in the US is the Mentor 800cc Moderate Plus saline device.  It can be filled to over 2000cc without losing any shell integrity.  (As an experiment I filled one to 3300cc to see if it would rupture and it still kept filling.  Even after throwing it up in the air and dropping it on the ground seven times it still was intact).  However, there are increased risks as the implant volumes go into the >800cc range and require a detailed and thorough discussion with a board certified plastic surgeon who has experience with XL implants.  I hope this helps.