Learn Spanish (Latin America): Siguen sin domar al lobo, pero adiestran halcones. - They still haven't tamed the wolf, but they train falcons.

The structure seguir sin + infinitive is a very common verbal periphrasis in Spanish. While you could say todavía no han domado, using siguen sin domar emphasizes the continuous, ongoing nature of the negative state. It literally translates to "they continue without taming."

Why is there an "al" (a + el) before "lobo"? Do wild animals take the personal "a"?

Generally, the personal a is reserved for people or beloved pets. However, it is also frequently used for specific, individualized animals. Saying al lobo tells us this is a specific, known wolf they are dealing with, rather than just any random wolf.

If they used "al" for the wolf, why isn't it "a los halcones" for the falcons?

Unlike the specific wolf, halcones here represents an unspecified, generic plural category. When a direct object is an undetermined quantity or a generic class of things/animals, you drop both the personal a and the definite article.

What is the exact difference between the verbs "domar" and "adiestrar" here?

Domar means to tame or break a wild animal, focusing on making a beast docile or manageable. Adiestrar means to train, focusing on teaching an animal specific skills, tricks, or commands. The sentence cleverly contrasts struggling to calm a wild beast with successfully teaching complex skills to birds of prey.