To make the dough, combine the all-purpose flour, sugar, and salt in a large mixing bowl and mix well. Drizzle in the vegetable oil and mix with your hands until it resembles coarse crumbs.
Gradually add water a little at a time, and knead the dough until it comes together into a smooth, elastic ball. It should be firm but pliable. Cover the dough with a damp cloth and let it rest for 10 minutes.
After the dough has rested, knead it on a floured surface for two more minutes and divide it into five small balls.
Roll each ball into a circle about 4" (10cm) in diameter with a rolling pin.
Once done rolling all the dough balls, layer them. Start by brushing a little vegetable oil on a circle, sprinkling it with some flour, and then placing another circle on it. Repeat the oiling and flouring step until you have layered all the circles. That will enable you to separate the dough after cooking.
Roll out the layered circles until they are about 12" (30cm) in diameter.
Heat a large pan over low heat and add your dough. Cook for 3 minutes on both sides. It should not brown, just warmed through.
Take it off the heat and place it on your work surface. Using a large plate or any round object, cut out the dough so that the dry edges are removed and it has a nice, even circular shape.
Next, cut up the dough into quarters and gently separate the samosa wraps.
Quickly make a flour paste by mixing flour and water until you have a smooth paste.