By Tom Gillespie @TomGillespie1
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One of the enormous reptiles was resting under a tree, when the other approached spoiling for a fight.
The two males then started spitting at each other before trying to whip each other's tails.
The pugnacious lizards then launched into a wrestling match and competed for dominance.
Komodo dragons are the largest lizard species in the world, and usually fight during mating season.
For that reason wildlife photographer Andrey Gudkov was even more astounded by what he saw.
The 43-year-old had waited a long time to get a perfect photograph of the animals fighting, when the opportunity arose in December last year.
The Russian photographer said: "I decided to start early in the morning and walk around the entire island.
"When we mounted a hill, we saw a large male dragon laying under the tree, and another male was approaching.
"I didn't think the chances of a fight were high because it’s not mating season.
"But we stayed and waited.
"They started to spit on each other and kick each other by the tails.
"A couple of minutes later the dragons were already fighting, and they demonstrated to us two splendid rounds, with each lasting a few seconds."
Rinca is one of three islands that make-up Indonesia's Komodo National Park.
Andrey had previously visited the island 12 times taking photos of brawling males.
One of his images from this fight helped him received a nomination for the Wildlife Photographer of the Year 2015.