Your sentence is perfectly correct, but sounds a little formal to me., A more colloquial way of saying this would be "I bumped into her in the park." In this case " to bump into someone" is like the Portuguese expression "dar de cara com alguém".
2019年5月17日
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Yes, it's correct.
2019年5月17日
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Yes, it is correct.
2019年5月17日
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Yes, that is a perfectly natural and correct expression.