Bhakti-rasāmṛta-sindhu .2.152
Blended reading (Sanskrit + English inline)
It is said there that those who are sober devotees can offer their submission to Kṛṣṇa in the following three ways: (1) samprārthanātmikā, very feelingly offering prayers; (2) dainya-bodhikā, humbly submitting oneself; (3) lālasā-mayī, desiring some perfectional stage. This desiring some perfectional stage in spiritual life is not sense gratification. When one realizes something of his constitutional relationship with the Supreme Personality of Godhead, he understands his original position and wants to be reinstated in this position, either as friend, servant, parent or conjugal lover of Kṛṣṇa. That is called lālasā-mayī, or very eagerly desiring to go to one’s natural position. This lālasā-mayī stage of submission comes in the stage of perfect liberation, which is technically called svarūpa-siddhi, when the living entity understands, by perfect spiritual advancement and revelation, his original relationship with the Lord.
Samprārthanā (prayers) are statements coming from persons who have not attained the stage of bhāva. Lālasā statements come from persons who have attained bhāva. That is the difference.
My note
Source: vedabase.io