Electron-poor 6-oxo-1-sulfonyl-1,6-dihydropyridine-3-carboxylates 1b-d undergo cross-Diels-Alder reactions with electron-rich dienes 4a-f under hyperbaric conditions, reacting either as dienophiles to yield normal-electron-demand (NED) cycloadducts 10 and/or 11 or as dienes to give inverse-electron-demand (IED) cycloadducts 12 and/or 13. The latter are converted into 14 and/or 15 through an NED cycloaddition with a second equivalent of electron-rich diene. Acyclic dienes display a propensity to yield NED products, whereas cyclic dienes tend to favor IED cycloadducts. High-pressure activation compares favorably with thermal or microwave activation in terms of both yields and suppression of the transformation of 1 into unreactive pyridines 3. Whereas the Cope rearrangement from IED to NED occurs under thermal conditions, no evidence of its involvement under high pressure could be detected. These and other data point to similar activation energies for the NED and IED processes under these conditions.