And that statement is true - or not -- depending on how one understands Paul's use of "works" in the particular context.
Scripture tells us that salvation is by grace alone.. .
And Catholics agree . . .
and works are merely the fruit of what God does in us
"Merely" here is both unnecessary and perhaps a bit misleading; but, again, Catholics agree that works that are meritorious are so by virtue of God's grace.
and not the means for meriting eternal life.
Here's where things get a bit more complicated and where you have some 'splainin' to do. For example, Paul, following His teacher Jesus Christ, says that eternal life is rendered in accordance with "works."
6 For [God] will render to every man according to his works: 7 to those who by patience in well-doing seek for glory and honor and immortality, he will give eternal life; 8 but for those who are factious and do not obey the truth, but obey wickedness, there will be wrath and fury. Rom. 2:6-8 (compare Matt. 16:27, 25:31ff).
Paul here clearly draws a direct correlation between "works" and the receipt of "eternal life." The key is understanding how "works" here are differentiated from "works" or "works of the law" as used in other verses.
Grace and works simply cannot mix in any way when we consider the grounds of our justification before the Lord.
To the contrary, unless one "mixes" them on some order, the result is the need to deny or twist beyond recognition verses like the one I just cited. One advantage of Catholic soteriology is I can read verses like this one pretty much directly (just paying heed to proper understanding). I find the "faith alone" crowd has to do backflips here.
If works are required, salvation becomes a reward that our Creator is obligated to give us and not a gift that is wholly unmerited by us.
Unless the reward of eternal life is understood as God simply being faithful to His own promises, rather than creating a type of legal obligation.
We will have to agree to disagree
God created the "legal" obligation when He said that He would not "impute" a man's sins to his account and would, instead, impute the righteousness of Christ through faith.
Eternal life is not a reward for works we do, but an act of grace and mercy by God. He gives to us eternal life as a gift and we receive that gift by faith. It is then that we learn how to walk in righteousness and holiness through the indwelling Holy Spirit - which genuine faith gives us. It is then that we can produce the kind of fruit that truly honors and glorifies God and not ourselves. We have been freed from the slavery to sin and its hold and can walk in newness of life through the new spirit nature.