YOU SAID:

I saw a cat, who was looking at me with such haste

INTO JAPANESE

私は猫を見ましたが、あっという間に私を見ていました

BACK INTO ENGLISH

I saw a cat, but in no time I was looking at me.

INTO JAPANESE

私は猫を見たが、あっという間に私を見ていた。

BACK INTO ENGLISH

I saw a cat, but it looked at me in no time.

INTO JAPANESE

私は猫を見たが、あっという間に私を見た。

BACK INTO ENGLISH

I saw a cat, but in no time I saw me.

INTO JAPANESE

私は猫を見たが、あっという間に私に会った。

BACK INTO ENGLISH

I saw the cat, but it met me in no time.

INTO JAPANESE

私はその猫を見たが、あっという間に会った。

BACK INTO ENGLISH

I saw the cat, but I met him in no time.

INTO JAPANESE

私はその猫を見たが、あっという間に彼に会った。

BACK INTO ENGLISH

I saw the cat, but I met him in no time.