It’s still available here: archive.org/details/catholiccontrove00sain
Another counter-reformer was St. Peter Faber. His biography is here: archive.org/details/lifeofblessedpet08boer
That book calls him Blessed Peter Faber, but he has since been canonized. He was alive and active when Martin Luther was still alive and active, and preached to Protestants in Germany. With Johann Eck, he helped write the Pontifical Confutation of the Augsburg Confession in 1530. It is notable for discussing areas of agreement as well as disagreement, and even goes into the legitimate need for true reform.
His writings against protestantism are not as antagonistic toward protestants as some other writings of the time, but in many places he strikes a more friendly tone. He once said:
St. Peter Faber - “[It] is essential that whoever desires to be useful to heretics in our day should both nourish in himself a great affection for them and show it in action, removing from his own mind those unfavourable imaginations which make us think less well of them.” (Instructions How to Deal with Heretics, as it appears in The life of Blessed Peter Favre by Giuseppe Boero, Chapter 13)
“The next thing is, to win their goodwill and inclinations to such an extent that they may reciprocate our kind feelings and think well of us. This may easily be done by speaking to them affectionately, and dwelling in familiar conversations on those points only on which they agree with us, avoiding everything like a dispute, in which one side always assumes an air of superiority, and shows contempt of the other. Those subjects should be first chosen in which there is a sympathy and union of wills, rather than those which tend to disunite them by opposition of opinion.” (ibid.)
He Also talked fervently about areas of disagreement, and he is a notable early example of a good Catholic way to deal with protestants.