This chart shows basic reporting verbs that are used very often. As you can see, it is possible to sort them in six cathegories.

verb object infinitive verb infinitive verb (that) verb gerund verb object preposition gerund verb preposition gerund
advise
encourage
invite
remind
warn
agree
decide
offer
promise
refuse
threaten
admit
agree
decide
deny
explain
insist
promise
recommend
suggest
deny
recommend
suggest
accuse
blame
congratulate
apologize
insist
object = předmět (2.-7.pád); infinitive = sloveso+to; gerund = ing forma slovesa; preposition = předložka

Examples:

They invited all their friends to attend the presentation.

She offered to give him a lift to work.

She agreed (that) we needed to reconsider our plans.

He denied having anything to do with her.

They accused the boys of cheating on the exam.

He apologized for being late.