I've found the method 

ItemRenderer#renderFireInFirstPerson()

and using reflection I can use it, but the fire is not actually shown on the screen.

 

Should I use a different way to render the fire?

 

This is what I have done so far:

private static Minecraft minecraft = Minecraft.getMinecraft();
private static Method renderFire1st = ObfuscationReflectionHelper.findMethod(minecraft.getItemRenderer().getClass(), "func_78442_d", void.class);

@SubscribeEvent
public static void renderEffect(RenderLivingEvent.Post event) {
    try {
        if (!net.minecraftforge.event.ForgeEventFactory.renderFireOverlay(minecraft.player, event.getPartialRenderTick()))
                renderFire1st.invoke(minecraft.getItemRenderer());
    } catch (IllegalAccessException | InvocationTargetException e) {
            System.out.println("Forge was not present.");
    }
}

 

Thank you in advance!

Okay, I've tried various things, and the only thing I got to work was the following:

 

private static Minecraft minecraft = Minecraft.getMinecraft();
private static Method renderFire1st = ObfuscationReflectionHelper.findMethod(ItemRenderer.class, "func_78442_d", void.class);

@SubscribeEvent
public static void renderFirstPersonEffect(RenderHandEvent event) {
    if(minecraft.gameSettings.thirdPersonView == 0) {
        if (!net.minecraftforge.event.ForgeEventFactory.renderFireOverlay(minecraft.player, event.getPartialTicks())) {
            try {
                renderFire1st.invoke(minecraft.getItemRenderer());
            } catch (IllegalAccessException | InvocationTargetException e) {
                e.printStackTrace();
            }
        }
    }
}

 

But this seems like a hacky solution, and I would like to know if I should use an alternative way to do this. Maybe another event to subscribe to.