The only possible explanation looks internal capacitance but it is not possible since the experiment as with D.C INPUT
Article DIODE WITH NO CONNECTION COULD GLOW LED
Sir exactly i was taking few reading on diode without any load...cathode directly to ground..then i switched off the thing ..after 10 min i guess i tried to take reading with led in series .soon i connected led it began to glow for 1min....point to be consider here sir is that at that very moment there was no wire connected to any terminal of diode
A normal rectifier diode can never glow LED when it is connected in parallel with it. From where the diode can get the driving electromotive force to drive the LED. The other thing is that LEDS has a cut in voltage higher than that of the si rectifier diodes.
I would suspect that you used the multimeter in ohmeter mode where there is a battery inside that can drive the LED.
You have to elaborate the description of the experiment before making any conclusions.
Best wishes
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