We have enmity between animals and humans today. There is limited communication.
The Scriptures indicate that animals (some, at least) could talk at one time. The serpent spoke to Eve, in the Garden of Eden.
Genesis 3:1 "The serpent was more subtil than any beast of the field which the LORD God had made. And he said unto the woman, Yea, hath God said, Ye shall not eat of every tree of the garden?"
Perhaps in Eden other animals could also "talk" or communicate with humans more directly?
We also know that Balaam's donkey could speak, when briefly given the ability.
Numbers 22:28 "And the LORD opened the mouth of the ass, and she said unto Balaam, What have I done unto thee, that thou hast smitten me these three times? ..."
In the future, during the Millennium, there will a restoration of normalcy. In the Millennium, there will be positive communication between humans and animals.
Isaiah 11:6 "The wolf also shall dwell with the lamb, and the leopard shall lie down with the kid; and the calf and the young lion and the fatling together; and a little child shall lead them."
Speaking of lions and "meat eating carnivores", have you ever heard about the modern lion that would not eat meat? It is true: http://www.answersingenesis.org/articles/2009/03/30/no-taste-for-meat
Today we see mosquitoes as pesky parasites. But it is possible that their original diet was very different: http://www.answersingenesis.org/tj/v5/i2/diet.asp
Finally, some people ask if the soul of their pet will go to Heaven.
There is only one verse in the Bible that gives us a clue about the souls
of animals: Ecclesiastes 3:21 "Who knoweth the spirit of man that goeth
upward, and the spirit of the beast that goeth downward to the earth?"