Odor later scored on a nicely executed suicide squeeze by Alcides Escobar. Pool F play takes place in San Diego's Petco Park.
Tuesday's schedule will see Starling Marte, Gregory Polanco and the Dominican Republic take on Team Puerto Rico at 9:00 PM on MLB Network.
His complaints stem from Mexico's elimination from the WBC, as Mexico and even the World Baseball Classic's Twitter account believed that the team would play Italy in a tiebreaker for the right to advance to the single-elimination stage. Officials then informed Venezuela of the proper calculation.
Venezuela, with a bevy of major league stars on its roster, advanced despite allowing 35 runs in the first round the third-highest mark in tournament history. South Africa and China each gave up 38 in 2006.
A few days later, Adrian Gonzalez obviously has not gotten over his anger at the way Mexico was eliminated from the World Baseball Classic - via a tiebreaker scenario based on runs allowed per defensive inning.
Troy: Playing national power Duke an 'honor, privilege'
The other first-round matchup in Lexington features fifth-seeded Ohio State against 12th-seeded Western Kentucky at 2:30 p.m. Playing in the NCAA Women's Tournament for the second time in as many years, players and coaches know what they're in for.
Esteban Quiroz and Brandon Laird each hit a three-run homer for Mexico.
Gregorius drove in a run in the eighth with a flyout when the Netherlands added two runs.
However news of the rule interpretation infuriated Mexican players and officials who claimed they had been given contrary advice before Sunday's game.
Israel beat the Netherlands 4-2 in the first round in Seoul but saw a different team on Monday at Tokyo Dome.
Venezuela went on to score two more runs in the inning and they held on for the win after Italy was only able to score one in the bottom of the ninth.