Día means day
Pronto in this case probably means soon
This is probably part of a longer statement. Un dia pronto means "some day soon"
Additional info:
People in some Spanish-Speaking countries answer the telephone by saying "Pronto"
Pronto means "ready"
See you soon!
Hasta pronto means see you soon
quickly or soon! :)
To lessen
con = with dia = day
"Ver you pronto" is likely a misspelling or a misunderstanding of the phrase "¡Ve pronto!", which in Spanish means "Go quickly!".
It means "with you soon".
See You Soon.
in a prompt or rapid way
este dia = this day = today
Nos Vemos pronto is we will see each other quickly but probably meant see you soon