int xMin = 0, xMax = this.width;
int yMin = 0, yMax = this.height;

if (player.x <= xMin) {
    // Arguments go here for if object player has passed the left of the window border.
} else if (player.y >= yMax) {
    // Arguments here for if object player is passing the bottom of the screen.
}

if (object.position.X > window.width)
{
    object.position.X = 0;
}
else if (object.position.X + object.sourceRect.Width < 0)
{
    object.position.X = this.Width - object.sourceRect.Width;
}