Trying To Meditate, Meditating And Absorption

[Garuda]

I have been meditating close to 2 years now. Only a few weeks ago I have actually learnt how to mediate, where my mind is still and single pointed. I used to get glimpses of this stillness every 1-2 months or so, but now I get it every time I meditate.

However there is a distinct awareness of that which I am meditating upon and myself. 

What can I do so I am fully absorbed into what I am meditating upon? 

Shall I  meditate and wait until I am fully absorbed, will that work? Anyone meditated for long periods can you chime in on this?( @Leo Gura

 

Thanks.